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Finding the Fourth Proportional to 135,642.70, 187,189.17 and 75,215.89

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Solution

The fourth proportional to 135,642.70, 187,189.17 and 75,215.89 is: 103,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,642.70 : 187,189.17 = 75,215.89 : x
  2. Step 2: Convert to fraction form
    135,642.70/187,189.17 = 75,215.89/x
  3. Step 3: Cross multiply
    135,642.70x = 187,189.17 × 75,215.89
  4. Step 4: Simplify right side
    135,642.70x = 14,079,599,083.97
  5. Step 5: Solve for x
    x = 14,079,599,083.97/135,642.70
  6. Step 6: Final answer
    x = 103,799.17

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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.