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Finding the Fourth Proportional to 148,894.32, 205,463.52 and 85,231.20

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Solution

The fourth proportional to 148,894.32, 205,463.52 and 85,231.20 is: 117,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,894.32 : 205,463.52 = 85,231.20 : x
  2. Step 2: Convert to fraction form
    148,894.32/205,463.52 = 85,231.20/x
  3. Step 3: Cross multiply
    148,894.32x = 205,463.52 × 85,231.20
  4. Step 4: Simplify right side
    148,894.32x = 17,511,902,365.82
  5. Step 5: Solve for x
    x = 17,511,902,365.82/148,894.32
  6. Step 6: Final answer
    x = 117,612.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.