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Finding the Fourth Proportional to 200,030.40, 300,002.40 and 87,710.40

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Solution

The fourth proportional to 200,030.40, 300,002.40 and 87,710.40 is: 131,546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,030.40 : 300,002.40 = 87,710.40 : x
  2. Step 2: Convert to fraction form
    200,030.40/300,002.40 = 87,710.40/x
  3. Step 3: Cross multiply
    200,030.40x = 300,002.40 × 87,710.40
  4. Step 4: Simplify right side
    200,030.40x = 26,313,330,504.96
  5. Step 5: Solve for x
    x = 26,313,330,504.96/200,030.40
  6. Step 6: Final answer
    x = 131,546.66

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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.