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Finding the Fourth Proportional to 144,446.10, 216,797.15 and 85,207.70

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Solution

The fourth proportional to 144,446.10, 216,797.15 and 85,207.70 is: 127,887.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,446.10 : 216,797.15 = 85,207.70 : x
  2. Step 2: Convert to fraction form
    144,446.10/216,797.15 = 85,207.70/x
  3. Step 3: Cross multiply
    144,446.10x = 216,797.15 × 85,207.70
  4. Step 4: Simplify right side
    144,446.10x = 18,472,786,518.06
  5. Step 5: Solve for x
    x = 18,472,786,518.06/144,446.10
  6. Step 6: Final answer
    x = 127,887.06

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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.