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Finding the Fourth Proportional to 135,613.78, 187,129.71 and 75,183.86

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Solution

The fourth proportional to 135,613.78, 187,129.71 and 75,183.86 is: 103,744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,613.78 : 187,129.71 = 75,183.86 : x
  2. Step 2: Convert to fraction form
    135,613.78/187,129.71 = 75,183.86/x
  3. Step 3: Cross multiply
    135,613.78x = 187,129.71 × 75,183.86
  4. Step 4: Simplify right side
    135,613.78x = 14,069,134,386.30
  5. Step 5: Solve for x
    x = 14,069,134,386.30/135,613.78
  6. Step 6: Final answer
    x = 103,744.14

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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.