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Finding the Fourth Proportional to 200,643,812.10, 300,965,718.15 and 114,550,370.10

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Solution

The fourth proportional to 200,643,812.10, 300,965,718.15 and 114,550,370.10 is: 171,825,555.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,643,812.10 : 300,965,718.15 = 114,550,370.10 : x
  2. Step 2: Convert to fraction form
    200,643,812.10/300,965,718.15 = 114,550,370.10/x
  3. Step 3: Cross multiply
    200,643,812.10x = 300,965,718.15 × 114,550,370.10
  4. Step 4: Simplify right side
    200,643,812.10x = 34,475,734,401,494,784
  5. Step 5: Solve for x
    x = 34,475,734,401,494,784/200,643,812.10
  6. Step 6: Final answer
    x = 171,825,555.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.