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Finding the Fourth Proportional to 146,781.60, 220,172.40 and 76,651.80

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Solution

The fourth proportional to 146,781.60, 220,172.40 and 76,651.80 is: 114,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,781.60 : 220,172.40 = 76,651.80 : x
  2. Step 2: Convert to fraction form
    146,781.60/220,172.40 = 76,651.80/x
  3. Step 3: Cross multiply
    146,781.60x = 220,172.40 × 76,651.80
  4. Step 4: Simplify right side
    146,781.60x = 16,876,610,770.32
  5. Step 5: Solve for x
    x = 16,876,610,770.32/146,781.60
  6. Step 6: Final answer
    x = 114,977.70

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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.