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Finding the Fourth Proportional to 57,785.91, 86,671.92 and 15,663.38

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Solution

The fourth proportional to 57,785.91, 86,671.92 and 15,663.38 is: 23,493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,785.91 : 86,671.92 = 15,663.38 : x
  2. Step 2: Convert to fraction form
    57,785.91/86,671.92 = 15,663.38/x
  3. Step 3: Cross multiply
    57,785.91x = 86,671.92 × 15,663.38
  4. Step 4: Simplify right side
    57,785.91x = 1,357,574,843.67
  5. Step 5: Solve for x
    x = 1,357,574,843.67/57,785.91
  6. Step 6: Final answer
    x = 23,493.18

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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.