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Finding the Fourth Proportional to 148,793, 205,334.34 and 81,725

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Solution

The fourth proportional to 148,793, 205,334.34 and 81,725 is: 112,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,793 : 205,334.34 = 81,725 : x
  2. Step 2: Convert to fraction form
    148,793/205,334.34 = 81,725/x
  3. Step 3: Cross multiply
    148,793x = 205,334.34 × 81,725
  4. Step 4: Simplify right side
    148,793x = 16,780,948,936.50
  5. Step 5: Solve for x
    x = 16,780,948,936.50/148,793
  6. Step 6: Final answer
    x = 112,780.50

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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.