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Finding the Fourth Proportional to 155,194.72, 232,894 and 85,123.20

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Solution

The fourth proportional to 155,194.72, 232,894 and 85,123.20 is: 127,740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,194.72 : 232,894 = 85,123.20 : x
  2. Step 2: Convert to fraction form
    155,194.72/232,894 = 85,123.20/x
  3. Step 3: Cross multiply
    155,194.72x = 232,894 × 85,123.20
  4. Step 4: Simplify right side
    155,194.72x = 19,824,682,540.80
  5. Step 5: Solve for x
    x = 19,824,682,540.80/155,194.72
  6. Step 6: Final answer
    x = 127,740.70

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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.