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Finding the Fourth Proportional to 138,742.92, 191,465.50 and 75,080.74

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Solution

The fourth proportional to 138,742.92, 191,465.50 and 75,080.74 is: 103,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,742.92 : 191,465.50 = 75,080.74 : x
  2. Step 2: Convert to fraction form
    138,742.92/191,465.50 = 75,080.74/x
  3. Step 3: Cross multiply
    138,742.92x = 191,465.50 × 75,080.74
  4. Step 4: Simplify right side
    138,742.92x = 14,375,371,424.47
  5. Step 5: Solve for x
    x = 14,375,371,424.47/138,742.92
  6. Step 6: Final answer
    x = 103,611.57

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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.