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Finding the Fourth Proportional to 78,509.28, 117,799.56 and 71,864.88

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Solution

The fourth proportional to 78,509.28, 117,799.56 and 71,864.88 is: 107,829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509.28 : 117,799.56 = 71,864.88 : x
  2. Step 2: Convert to fraction form
    78,509.28/117,799.56 = 71,864.88/x
  3. Step 3: Cross multiply
    78,509.28x = 117,799.56 × 71,864.88
  4. Step 4: Simplify right side
    78,509.28x = 8,465,651,243.45
  5. Step 5: Solve for x
    x = 8,465,651,243.45/78,509.28
  6. Step 6: Final answer
    x = 107,829.94

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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.