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Finding the Fourth Proportional to 135,689.26, 187,252.48 and 75,265.84

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Solution

The fourth proportional to 135,689.26, 187,252.48 and 75,265.84 is: 103,867.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,689.26 : 187,252.48 = 75,265.84 : x
  2. Step 2: Convert to fraction form
    135,689.26/187,252.48 = 75,265.84/x
  3. Step 3: Cross multiply
    135,689.26x = 187,252.48 × 75,265.84
  4. Step 4: Simplify right side
    135,689.26x = 14,093,715,199.28
  5. Step 5: Solve for x
    x = 14,093,715,199.28/135,689.26
  6. Step 6: Final answer
    x = 103,867.58

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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.