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Finding the Fourth Proportional to 68,565.92, 102,856.16 and 18,646.83

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Solution

The fourth proportional to 68,565.92, 102,856.16 and 18,646.83 is: 27,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,565.92 : 102,856.16 = 18,646.83 : x
  2. Step 2: Convert to fraction form
    68,565.92/102,856.16 = 18,646.83/x
  3. Step 3: Cross multiply
    68,565.92x = 102,856.16 × 18,646.83
  4. Step 4: Simplify right side
    68,565.92x = 1,917,941,376.59
  5. Step 5: Solve for x
    x = 1,917,941,376.59/68,565.92
  6. Step 6: Final answer
    x = 27,972.23

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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.