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Finding the Fourth Proportional to 78,857.80, 118,092.30 and 52,419.40

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Solution

The fourth proportional to 78,857.80, 118,092.30 and 52,419.40 is: 78,499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,857.80 : 118,092.30 = 52,419.40 : x
  2. Step 2: Convert to fraction form
    78,857.80/118,092.30 = 52,419.40/x
  3. Step 3: Cross multiply
    78,857.80x = 118,092.30 × 52,419.40
  4. Step 4: Simplify right side
    78,857.80x = 6,190,327,510.62
  5. Step 5: Solve for x
    x = 6,190,327,510.62/78,857.80
  6. Step 6: Final answer
    x = 78,499.88

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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.