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Finding the Fourth Proportional to 258,434.92, 387,659.66 and 71,446.40

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Solution

The fourth proportional to 258,434.92, 387,659.66 and 71,446.40 is: 107,171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,434.92 : 387,659.66 = 71,446.40 : x
  2. Step 2: Convert to fraction form
    258,434.92/387,659.66 = 71,446.40/x
  3. Step 3: Cross multiply
    258,434.92x = 387,659.66 × 71,446.40
  4. Step 4: Simplify right side
    258,434.92x = 27,696,887,132.22
  5. Step 5: Solve for x
    x = 27,696,887,132.22/258,434.92
  6. Step 6: Final answer
    x = 107,171.61

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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.