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Finding the Fourth Proportional to 103,658.43, 155,794.37 and 86,003.61

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Solution

The fourth proportional to 103,658.43, 155,794.37 and 86,003.61 is: 129,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,658.43 : 155,794.37 = 86,003.61 : x
  2. Step 2: Convert to fraction form
    103,658.43/155,794.37 = 86,003.61/x
  3. Step 3: Cross multiply
    103,658.43x = 155,794.37 × 86,003.61
  4. Step 4: Simplify right side
    103,658.43x = 13,398,878,237.68
  5. Step 5: Solve for x
    x = 13,398,878,237.68/103,658.43
  6. Step 6: Final answer
    x = 129,259.90

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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.