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Finding the Fourth Proportional to 158,144.47, 218,239.11 and 86,524.78

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Solution

The fourth proportional to 158,144.47, 218,239.11 and 86,524.78 is: 119,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,144.47 : 218,239.11 = 86,524.78 : x
  2. Step 2: Convert to fraction form
    158,144.47/218,239.11 = 86,524.78/x
  3. Step 3: Cross multiply
    158,144.47x = 218,239.11 × 86,524.78
  4. Step 4: Simplify right side
    158,144.47x = 18,883,090,434.55
  5. Step 5: Solve for x
    x = 18,883,090,434.55/158,144.47
  6. Step 6: Final answer
    x = 119,404.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.