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Finding the Fourth Proportional to 99,808.97, 137,781.29 and 65,837.57

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Solution

The fourth proportional to 99,808.97, 137,781.29 and 65,837.57 is: 90,885.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,808.97 : 137,781.29 = 65,837.57 : x
  2. Step 2: Convert to fraction form
    99,808.97/137,781.29 = 65,837.57/x
  3. Step 3: Cross multiply
    99,808.97x = 137,781.29 × 65,837.57
  4. Step 4: Simplify right side
    99,808.97x = 9,071,185,325.07
  5. Step 5: Solve for x
    x = 9,071,185,325.07/99,808.97
  6. Step 6: Final answer
    x = 90,885.47

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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.