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Finding the Fourth Proportional to 78,510.80, 117,779.36 and 36,373.68

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Solution

The fourth proportional to 78,510.80, 117,779.36 and 36,373.68 is: 54,566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,510.80 : 117,779.36 = 36,373.68 : x
  2. Step 2: Convert to fraction form
    78,510.80/117,779.36 = 36,373.68/x
  3. Step 3: Cross multiply
    78,510.80x = 117,779.36 × 36,373.68
  4. Step 4: Simplify right side
    78,510.80x = 4,284,068,569.38
  5. Step 5: Solve for x
    x = 4,284,068,569.38/78,510.80
  6. Step 6: Final answer
    x = 54,566.61

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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.