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Finding the Fourth Proportional to 99,882, 137,837.16 and 57,439.62

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Solution

The fourth proportional to 99,882, 137,837.16 and 57,439.62 is: 79,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,882 : 137,837.16 = 57,439.62 : x
  2. Step 2: Convert to fraction form
    99,882/137,837.16 = 57,439.62/x
  3. Step 3: Cross multiply
    99,882x = 137,837.16 × 57,439.62
  4. Step 4: Simplify right side
    99,882x = 7,917,314,092.28
  5. Step 5: Solve for x
    x = 7,917,314,092.28/99,882
  6. Step 6: Final answer
    x = 79,266.68

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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.