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Finding the Fourth Proportional to 221,498.50, 305,561.57 and 144,983.87

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Solution

The fourth proportional to 221,498.50, 305,561.57 and 144,983.87 is: 200,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,498.50 : 305,561.57 = 144,983.87 : x
  2. Step 2: Convert to fraction form
    221,498.50/305,561.57 = 144,983.87/x
  3. Step 3: Cross multiply
    221,498.50x = 305,561.57 × 144,983.87
  4. Step 4: Simplify right side
    221,498.50x = 44,301,499,553.79
  5. Step 5: Solve for x
    x = 44,301,499,553.79/221,498.50
  6. Step 6: Final answer
    x = 200,008.13

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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.