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Finding the Fourth Proportional to 150,425.71, 207,590.15 and 82,438.16

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Solution

The fourth proportional to 150,425.71, 207,590.15 and 82,438.16 is: 113,766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,425.71 : 207,590.15 = 82,438.16 : x
  2. Step 2: Convert to fraction form
    150,425.71/207,590.15 = 82,438.16/x
  3. Step 3: Cross multiply
    150,425.71x = 207,590.15 × 82,438.16
  4. Step 4: Simplify right side
    150,425.71x = 17,113,350,000.12
  5. Step 5: Solve for x
    x = 17,113,350,000.12/150,425.71
  6. Step 6: Final answer
    x = 113,766.12

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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.