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Finding the Fourth Proportional to 148,755, 205,283.52 and 81,687

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Solution

The fourth proportional to 148,755, 205,283.52 and 81,687 is: 112,728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,755 : 205,283.52 = 81,687 : x
  2. Step 2: Convert to fraction form
    148,755/205,283.52 = 81,687/x
  3. Step 3: Cross multiply
    148,755x = 205,283.52 × 81,687
  4. Step 4: Simplify right side
    148,755x = 16,768,994,898.24
  5. Step 5: Solve for x
    x = 16,768,994,898.24/148,755
  6. Step 6: Final answer
    x = 112,728.95

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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.