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Finding the Fourth Proportional to 78,115.32, 117,032.04 and 65,712.60

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Solution

The fourth proportional to 78,115.32, 117,032.04 and 65,712.60 is: 98,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,115.32 : 117,032.04 = 65,712.60 : x
  2. Step 2: Convert to fraction form
    78,115.32/117,032.04 = 65,712.60/x
  3. Step 3: Cross multiply
    78,115.32x = 117,032.04 × 65,712.60
  4. Step 4: Simplify right side
    78,115.32x = 7,690,479,631.70
  5. Step 5: Solve for x
    x = 7,690,479,631.70/78,115.32
  6. Step 6: Final answer
    x = 98,450.34

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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.