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Finding the Fourth Proportional to 201,891.10, 302,812.35 and 83,550.10

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Solution

The fourth proportional to 201,891.10, 302,812.35 and 83,550.10 is: 125,315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,891.10 : 302,812.35 = 83,550.10 : x
  2. Step 2: Convert to fraction form
    201,891.10/302,812.35 = 83,550.10/x
  3. Step 3: Cross multiply
    201,891.10x = 302,812.35 × 83,550.10
  4. Step 4: Simplify right side
    201,891.10x = 25,300,002,123.74
  5. Step 5: Solve for x
    x = 25,300,002,123.74/201,891.10
  6. Step 6: Final answer
    x = 125,315.09

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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.