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Finding the Fourth Proportional to 221,616.50, 305,724.04 and 145,101.87

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Solution

The fourth proportional to 221,616.50, 305,724.04 and 145,101.87 is: 200,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,616.50 : 305,724.04 = 145,101.87 : x
  2. Step 2: Convert to fraction form
    221,616.50/305,724.04 = 145,101.87/x
  3. Step 3: Cross multiply
    221,616.50x = 305,724.04 × 145,101.87
  4. Step 4: Simplify right side
    221,616.50x = 44,361,129,545.20
  5. Step 5: Solve for x
    x = 44,361,129,545.20/221,616.50
  6. Step 6: Final answer
    x = 200,170.70

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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.