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Finding the Fourth Proportional to 144,902.76, 217,354.89 and 65,961.78

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Solution

The fourth proportional to 144,902.76, 217,354.89 and 65,961.78 is: 98,943.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,902.76 : 217,354.89 = 65,961.78 : x
  2. Step 2: Convert to fraction form
    144,902.76/217,354.89 = 65,961.78/x
  3. Step 3: Cross multiply
    144,902.76x = 217,354.89 × 65,961.78
  4. Step 4: Simplify right side
    144,902.76x = 14,337,115,436.10
  5. Step 5: Solve for x
    x = 14,337,115,436.10/144,902.76
  6. Step 6: Final answer
    x = 98,943.01

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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.