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Finding the Fourth Proportional to 155,149.40, 232,724.10 and 76,247.30

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Solution

The fourth proportional to 155,149.40, 232,724.10 and 76,247.30 is: 114,370.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,149.40 : 232,724.10 = 76,247.30 : x
  2. Step 2: Convert to fraction form
    155,149.40/232,724.10 = 76,247.30/x
  3. Step 3: Cross multiply
    155,149.40x = 232,724.10 × 76,247.30
  4. Step 4: Simplify right side
    155,149.40x = 17,744,584,269.93
  5. Step 5: Solve for x
    x = 17,744,584,269.93/155,149.40
  6. Step 6: Final answer
    x = 114,370.95

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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.