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Finding the Fourth Proportional to 102,471.74, 141,410.74 and 57,149.78

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Solution

The fourth proportional to 102,471.74, 141,410.74 and 57,149.78 is: 78,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,471.74 : 141,410.74 = 57,149.78 : x
  2. Step 2: Convert to fraction form
    102,471.74/141,410.74 = 57,149.78/x
  3. Step 3: Cross multiply
    102,471.74x = 141,410.74 × 57,149.78
  4. Step 4: Simplify right side
    102,471.74x = 8,081,592,680.64
  5. Step 5: Solve for x
    x = 8,081,592,680.64/102,471.74
  6. Step 6: Final answer
    x = 78,866.55

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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.