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Finding the Fourth Proportional to 155,229.54, 232,843.70 and 42,909.54

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Solution

The fourth proportional to 155,229.54, 232,843.70 and 42,909.54 is: 64,364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,229.54 : 232,843.70 = 42,909.54 : x
  2. Step 2: Convert to fraction form
    155,229.54/232,843.70 = 42,909.54/x
  3. Step 3: Cross multiply
    155,229.54x = 232,843.70 × 42,909.54
  4. Step 4: Simplify right side
    155,229.54x = 9,991,214,680.13
  5. Step 5: Solve for x
    x = 9,991,214,680.13/155,229.54
  6. Step 6: Final answer
    x = 64,364.13

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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.