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Finding the Fourth Proportional to 148,670, 205,161.20 and 80,687.10

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Solution

The fourth proportional to 148,670, 205,161.20 and 80,687.10 is: 111,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,670 : 205,161.20 = 80,687.10 : x
  2. Step 2: Convert to fraction form
    148,670/205,161.20 = 80,687.10/x
  3. Step 3: Cross multiply
    148,670x = 205,161.20 × 80,687.10
  4. Step 4: Simplify right side
    148,670x = 16,553,862,260.52
  5. Step 5: Solve for x
    x = 16,553,862,260.52/148,670
  6. Step 6: Final answer
    x = 111,346.35

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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.