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Finding the Fourth Proportional to 103,646.92, 155,221.24 and 59,138.74

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Solution

The fourth proportional to 103,646.92, 155,221.24 and 59,138.74 is: 88,565.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,646.92 : 155,221.24 = 59,138.74 : x
  2. Step 2: Convert to fraction form
    103,646.92/155,221.24 = 59,138.74/x
  3. Step 3: Cross multiply
    103,646.92x = 155,221.24 × 59,138.74
  4. Step 4: Simplify right side
    103,646.92x = 9,179,588,018.94
  5. Step 5: Solve for x
    x = 9,179,588,018.94/103,646.92
  6. Step 6: Final answer
    x = 88,565.95

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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.