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Finding the Fourth Proportional to 80,138.90, 120,102.18 and 42,618.18

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Solution

The fourth proportional to 80,138.90, 120,102.18 and 42,618.18 is: 63,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,138.90 : 120,102.18 = 42,618.18 : x
  2. Step 2: Convert to fraction form
    80,138.90/120,102.18 = 42,618.18/x
  3. Step 3: Cross multiply
    80,138.90x = 120,102.18 × 42,618.18
  4. Step 4: Simplify right side
    80,138.90x = 5,118,536,616.20
  5. Step 5: Solve for x
    x = 5,118,536,616.20/80,138.90
  6. Step 6: Final answer
    x = 63,870.81

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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.