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Finding the Fourth Proportional to 145,753.90, 218,630.85 and 83,380.66

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Solution

The fourth proportional to 145,753.90, 218,630.85 and 83,380.66 is: 125,070.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,753.90 : 218,630.85 = 83,380.66 : x
  2. Step 2: Convert to fraction form
    145,753.90/218,630.85 = 83,380.66/x
  3. Step 3: Cross multiply
    145,753.90x = 218,630.85 × 83,380.66
  4. Step 4: Simplify right side
    145,753.90x = 18,229,583,059.30
  5. Step 5: Solve for x
    x = 18,229,583,059.30/145,753.90
  6. Step 6: Final answer
    x = 125,070.98

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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.