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Finding the Fourth Proportional to 115,411.10, 173,116.65 and 65,471.90

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Solution

The fourth proportional to 115,411.10, 173,116.65 and 65,471.90 is: 98,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,411.10 : 173,116.65 = 65,471.90 : x
  2. Step 2: Convert to fraction form
    115,411.10/173,116.65 = 65,471.90/x
  3. Step 3: Cross multiply
    115,411.10x = 173,116.65 × 65,471.90
  4. Step 4: Simplify right side
    115,411.10x = 11,334,275,997.14
  5. Step 5: Solve for x
    x = 11,334,275,997.14/115,411.10
  6. Step 6: Final answer
    x = 98,207.85

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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.