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Finding the Fourth Proportional to 78,468.48, 117,487.05 and 54,799.68

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Solution

The fourth proportional to 78,468.48, 117,487.05 and 54,799.68 is: 82,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,468.48 : 117,487.05 = 54,799.68 : x
  2. Step 2: Convert to fraction form
    78,468.48/117,487.05 = 54,799.68/x
  3. Step 3: Cross multiply
    78,468.48x = 117,487.05 × 54,799.68
  4. Step 4: Simplify right side
    78,468.48x = 6,438,252,744.14
  5. Step 5: Solve for x
    x = 6,438,252,744.14/78,468.48
  6. Step 6: Final answer
    x = 82,048.90

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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.