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Finding the Fourth Proportional to 135,691.56, 187,265.82 and 75,281.63

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Solution

The fourth proportional to 135,691.56, 187,265.82 and 75,281.63 is: 103,895.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,691.56 : 187,265.82 = 75,281.63 : x
  2. Step 2: Convert to fraction form
    135,691.56/187,265.82 = 75,281.63/x
  3. Step 3: Cross multiply
    135,691.56x = 187,265.82 × 75,281.63
  4. Step 4: Simplify right side
    135,691.56x = 14,097,675,518.86
  5. Step 5: Solve for x
    x = 14,097,675,518.86/135,691.56
  6. Step 6: Final answer
    x = 103,895.01

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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.