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Finding the Fourth Proportional to 99,882, 137,837.16 and 55,172.88

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Solution

The fourth proportional to 99,882, 137,837.16 and 55,172.88 is: 76,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,882 : 137,837.16 = 55,172.88 : x
  2. Step 2: Convert to fraction form
    99,882/137,837.16 = 55,172.88/x
  3. Step 3: Cross multiply
    99,882x = 137,837.16 × 55,172.88
  4. Step 4: Simplify right side
    99,882x = 7,604,873,088.22
  5. Step 5: Solve for x
    x = 7,604,873,088.22/99,882
  6. Step 6: Final answer
    x = 76,138.57

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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.