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Finding the Fourth Proportional to 258,540.68, 387,817.50 and 71,553.80

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Solution

The fourth proportional to 258,540.68, 387,817.50 and 71,553.80 is: 107,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,540.68 : 387,817.50 = 71,553.80 : x
  2. Step 2: Convert to fraction form
    258,540.68/387,817.50 = 71,553.80/x
  3. Step 3: Cross multiply
    258,540.68x = 387,817.50 × 71,553.80
  4. Step 4: Simplify right side
    258,540.68x = 27,749,815,831.50
  5. Step 5: Solve for x
    x = 27,749,815,831.50/258,540.68
  6. Step 6: Final answer
    x = 107,332.49

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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.