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Finding the Fourth Proportional to 102,129.91, 140,935.90 and 56,806.62

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Solution

The fourth proportional to 102,129.91, 140,935.90 and 56,806.62 is: 78,391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,129.91 : 140,935.90 = 56,806.62 : x
  2. Step 2: Convert to fraction form
    102,129.91/140,935.90 = 56,806.62/x
  3. Step 3: Cross multiply
    102,129.91x = 140,935.90 × 56,806.62
  4. Step 4: Simplify right side
    102,129.91x = 8,006,091,551.64
  5. Step 5: Solve for x
    x = 8,006,091,551.64/102,129.91
  6. Step 6: Final answer
    x = 78,391.25

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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.