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Finding the Fourth Proportional to 137,088.72, 205,650 and 66,915

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Solution

The fourth proportional to 137,088.72, 205,650 and 66,915 is: 100,380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,088.72 : 205,650 = 66,915 : x
  2. Step 2: Convert to fraction form
    137,088.72/205,650 = 66,915/x
  3. Step 3: Cross multiply
    137,088.72x = 205,650 × 66,915
  4. Step 4: Simplify right side
    137,088.72x = 13,761,069,750
  5. Step 5: Solve for x
    x = 13,761,069,750/137,088.72
  6. Step 6: Final answer
    x = 100,380.76

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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.