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Finding the Fourth Proportional to 138,742.59, 191,464.77 and 75,080.38

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Solution

The fourth proportional to 138,742.59, 191,464.77 and 75,080.38 is: 103,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,742.59 : 191,464.77 = 75,080.38 : x
  2. Step 2: Convert to fraction form
    138,742.59/191,464.77 = 75,080.38/x
  3. Step 3: Cross multiply
    138,742.59x = 191,464.77 × 75,080.38
  4. Step 4: Simplify right side
    138,742.59x = 14,375,247,312.81
  5. Step 5: Solve for x
    x = 14,375,247,312.81/138,742.59
  6. Step 6: Final answer
    x = 103,610.92

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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.