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Finding the Fourth Proportional to 129,665.95, 178,932.15 and 72,311.19

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Solution

The fourth proportional to 129,665.95, 178,932.15 and 72,311.19 is: 99,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,665.95 : 178,932.15 = 72,311.19 : x
  2. Step 2: Convert to fraction form
    129,665.95/178,932.15 = 72,311.19/x
  3. Step 3: Cross multiply
    129,665.95x = 178,932.15 × 72,311.19
  4. Step 4: Simplify right side
    129,665.95x = 12,938,796,695.76
  5. Step 5: Solve for x
    x = 12,938,796,695.76/129,665.95
  6. Step 6: Final answer
    x = 99,785.62

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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.