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Finding the Fourth Proportional to 78,159.87, 117,239.85 and 28,239.84

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Solution

The fourth proportional to 78,159.87, 117,239.85 and 28,239.84 is: 42,359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,159.87 : 117,239.85 = 28,239.84 : x
  2. Step 2: Convert to fraction form
    78,159.87/117,239.85 = 28,239.84/x
  3. Step 3: Cross multiply
    78,159.87x = 117,239.85 × 28,239.84
  4. Step 4: Simplify right side
    78,159.87x = 3,310,834,605.62
  5. Step 5: Solve for x
    x = 3,310,834,605.62/78,159.87
  6. Step 6: Final answer
    x = 42,359.78

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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.