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Finding the Fourth Proportional to 148,356.78, 204,732.58 and 87,957

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Solution

The fourth proportional to 148,356.78, 204,732.58 and 87,957 is: 121,380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,356.78 : 204,732.58 = 87,957 : x
  2. Step 2: Convert to fraction form
    148,356.78/204,732.58 = 87,957/x
  3. Step 3: Cross multiply
    148,356.78x = 204,732.58 × 87,957
  4. Step 4: Simplify right side
    148,356.78x = 18,007,663,539.06
  5. Step 5: Solve for x
    x = 18,007,663,539.06/148,356.78
  6. Step 6: Final answer
    x = 121,380.79

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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.