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Finding the Fourth Proportional to 148,891.80, 205,471.50 and 80,909.28

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Solution

The fourth proportional to 148,891.80, 205,471.50 and 80,909.28 is: 111,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,891.80 : 205,471.50 = 80,909.28 : x
  2. Step 2: Convert to fraction form
    148,891.80/205,471.50 = 80,909.28/x
  3. Step 3: Cross multiply
    148,891.80x = 205,471.50 × 80,909.28
  4. Step 4: Simplify right side
    148,891.80x = 16,624,551,125.52
  5. Step 5: Solve for x
    x = 16,624,551,125.52/148,891.80
  6. Step 6: Final answer
    x = 111,655.25

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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.