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Finding the Fourth Proportional to 148,930.92, 205,526.34 and 80,948.52

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Solution

The fourth proportional to 148,930.92, 205,526.34 and 80,948.52 is: 111,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,930.92 : 205,526.34 = 80,948.52 : x
  2. Step 2: Convert to fraction form
    148,930.92/205,526.34 = 80,948.52/x
  3. Step 3: Cross multiply
    148,930.92x = 205,526.34 × 80,948.52
  4. Step 4: Simplify right side
    148,930.92x = 16,637,053,044.02
  5. Step 5: Solve for x
    x = 16,637,053,044.02/148,930.92
  6. Step 6: Final answer
    x = 111,709.87

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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.