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Finding the Fourth Proportional to 138,061.44, 207,184.32 and 75,775.68

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Solution

The fourth proportional to 138,061.44, 207,184.32 and 75,775.68 is: 113,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,061.44 : 207,184.32 = 75,775.68 : x
  2. Step 2: Convert to fraction form
    138,061.44/207,184.32 = 75,775.68/x
  3. Step 3: Cross multiply
    138,061.44x = 207,184.32 × 75,775.68
  4. Step 4: Simplify right side
    138,061.44x = 15,699,532,733.34
  5. Step 5: Solve for x
    x = 15,699,532,733.34/138,061.44
  6. Step 6: Final answer
    x = 113,714.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.