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Finding the Fourth Proportional to 78,080.32, 116,979.54 and 65,677.60

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Solution

The fourth proportional to 78,080.32, 116,979.54 and 65,677.60 is: 98,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,080.32 : 116,979.54 = 65,677.60 : x
  2. Step 2: Convert to fraction form
    78,080.32/116,979.54 = 65,677.60/x
  3. Step 3: Cross multiply
    78,080.32x = 116,979.54 × 65,677.60
  4. Step 4: Simplify right side
    78,080.32x = 7,682,935,436.30
  5. Step 5: Solve for x
    x = 7,682,935,436.30/78,080.32
  6. Step 6: Final answer
    x = 98,397.85

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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.