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Finding the Fourth Proportional to 78,477.80, 117,716.70 and 48,515.90

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Solution

The fourth proportional to 78,477.80, 117,716.70 and 48,515.90 is: 72,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,477.80 : 117,716.70 = 48,515.90 : x
  2. Step 2: Convert to fraction form
    78,477.80/117,716.70 = 48,515.90/x
  3. Step 3: Cross multiply
    78,477.80x = 117,716.70 × 48,515.90
  4. Step 4: Simplify right side
    78,477.80x = 5,711,131,645.53
  5. Step 5: Solve for x
    x = 5,711,131,645.53/78,477.80
  6. Step 6: Final answer
    x = 72,773.85

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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.