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Finding the Fourth Proportional to 151,327.10, 208,781.42 and 97,647.80

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Solution

The fourth proportional to 151,327.10, 208,781.42 and 97,647.80 is: 134,721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,327.10 : 208,781.42 = 97,647.80 : x
  2. Step 2: Convert to fraction form
    151,327.10/208,781.42 = 97,647.80/x
  3. Step 3: Cross multiply
    151,327.10x = 208,781.42 × 97,647.80
  4. Step 4: Simplify right side
    151,327.10x = 20,387,044,811.73
  5. Step 5: Solve for x
    x = 20,387,044,811.73/151,327.10
  6. Step 6: Final answer
    x = 134,721.70

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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.