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Finding the Fourth Proportional to 81,700.92, 122,507.64 and 34,928.28

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Solution

The fourth proportional to 81,700.92, 122,507.64 and 34,928.28 is: 52,373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,700.92 : 122,507.64 = 34,928.28 : x
  2. Step 2: Convert to fraction form
    81,700.92/122,507.64 = 34,928.28/x
  3. Step 3: Cross multiply
    81,700.92x = 122,507.64 × 34,928.28
  4. Step 4: Simplify right side
    81,700.92x = 4,278,981,152.06
  5. Step 5: Solve for x
    x = 4,278,981,152.06/81,700.92
  6. Step 6: Final answer
    x = 52,373.72

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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.