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Finding the Fourth Proportional to 150,545, 207,784.50 and 90,129.12

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Solution

The fourth proportional to 150,545, 207,784.50 and 90,129.12 is: 124,397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,545 : 207,784.50 = 90,129.12 : x
  2. Step 2: Convert to fraction form
    150,545/207,784.50 = 90,129.12/x
  3. Step 3: Cross multiply
    150,545x = 207,784.50 × 90,129.12
  4. Step 4: Simplify right side
    150,545x = 18,727,434,134.64
  5. Step 5: Solve for x
    x = 18,727,434,134.64/150,545
  6. Step 6: Final answer
    x = 124,397.58

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1.5x scale

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.