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Finding the Fourth Proportional to 257,988.51, 387,007.20 and 100,229.13

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Solution

The fourth proportional to 257,988.51, 387,007.20 and 100,229.13 is: 150,353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,988.51 : 387,007.20 = 100,229.13 : x
  2. Step 2: Convert to fraction form
    257,988.51/387,007.20 = 100,229.13/x
  3. Step 3: Cross multiply
    257,988.51x = 387,007.20 × 100,229.13
  4. Step 4: Simplify right side
    257,988.51x = 38,789,394,959.74
  5. Step 5: Solve for x
    x = 38,789,394,959.74/257,988.51
  6. Step 6: Final answer
    x = 150,353.19

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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.