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Finding the Fourth Proportional to 150,545, 207,784.50 and 90,129.13

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Solution

The fourth proportional to 150,545, 207,784.50 and 90,129.13 is: 124,397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,545 : 207,784.50 = 90,129.13 : x
  2. Step 2: Convert to fraction form
    150,545/207,784.50 = 90,129.13/x
  3. Step 3: Cross multiply
    150,545x = 207,784.50 × 90,129.13
  4. Step 4: Simplify right side
    150,545x = 18,727,436,212.49
  5. Step 5: Solve for x
    x = 18,727,436,212.49/150,545
  6. Step 6: Final answer
    x = 124,397.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.