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Finding the Fourth Proportional to 99,706, 137,589.42 and 59,418.84

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Solution

The fourth proportional to 99,706, 137,589.42 and 59,418.84 is: 81,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,706 : 137,589.42 = 59,418.84 : x
  2. Step 2: Convert to fraction form
    99,706/137,589.42 = 59,418.84/x
  3. Step 3: Cross multiply
    99,706x = 137,589.42 × 59,418.84
  4. Step 4: Simplify right side
    99,706x = 8,175,403,732.67
  5. Step 5: Solve for x
    x = 8,175,403,732.67/99,706
  6. Step 6: Final answer
    x = 81,995.10

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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.