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Finding the Fourth Proportional to 102,082.52, 140,874.32 and 56,764.64

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Solution

The fourth proportional to 102,082.52, 140,874.32 and 56,764.64 is: 78,335.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,082.52 : 140,874.32 = 56,764.64 : x
  2. Step 2: Convert to fraction form
    102,082.52/140,874.32 = 56,764.64/x
  3. Step 3: Cross multiply
    102,082.52x = 140,874.32 × 56,764.64
  4. Step 4: Simplify right side
    102,082.52x = 7,996,680,060.04
  5. Step 5: Solve for x
    x = 7,996,680,060.04/102,082.52
  6. Step 6: Final answer
    x = 78,335.45

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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.