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Finding the Fourth Proportional to 123,979.68, 185,856.12 and 53,833.68

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Solution

The fourth proportional to 123,979.68, 185,856.12 and 53,833.68 is: 80,701.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,979.68 : 185,856.12 = 53,833.68 : x
  2. Step 2: Convert to fraction form
    123,979.68/185,856.12 = 53,833.68/x
  3. Step 3: Cross multiply
    123,979.68x = 185,856.12 × 53,833.68
  4. Step 4: Simplify right side
    123,979.68x = 10,005,318,890.12
  5. Step 5: Solve for x
    x = 10,005,318,890.12/123,979.68
  6. Step 6: Final answer
    x = 80,701.28

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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.