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Finding the Fourth Proportional to 78,124.68, 117,229.64 and 33,139.04

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Solution

The fourth proportional to 78,124.68, 117,229.64 and 33,139.04 is: 49,726.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,124.68 : 117,229.64 = 33,139.04 : x
  2. Step 2: Convert to fraction form
    78,124.68/117,229.64 = 33,139.04/x
  3. Step 3: Cross multiply
    78,124.68x = 117,229.64 × 33,139.04
  4. Step 4: Simplify right side
    78,124.68x = 3,884,876,977.30
  5. Step 5: Solve for x
    x = 3,884,876,977.30/78,124.68
  6. Step 6: Final answer
    x = 49,726.63

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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.