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Finding the Fourth Proportional to 261,143.70, 391,845.15 and 148,910.10

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Solution

The fourth proportional to 261,143.70, 391,845.15 and 148,910.10 is: 223,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,143.70 : 391,845.15 = 148,910.10 : x
  2. Step 2: Convert to fraction form
    261,143.70/391,845.15 = 148,910.10/x
  3. Step 3: Cross multiply
    261,143.70x = 391,845.15 × 148,910.10
  4. Step 4: Simplify right side
    261,143.70x = 58,349,700,471.02
  5. Step 5: Solve for x
    x = 58,349,700,471.02/261,143.70
  6. Step 6: Final answer
    x = 223,439.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.