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Finding the Fourth Proportional to 138,034.53, 190,428.17 and 87,006.96

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Solution

The fourth proportional to 138,034.53, 190,428.17 and 87,006.96 is: 120,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,034.53 : 190,428.17 = 87,006.96 : x
  2. Step 2: Convert to fraction form
    138,034.53/190,428.17 = 87,006.96/x
  3. Step 3: Cross multiply
    138,034.53x = 190,428.17 × 87,006.96
  4. Step 4: Simplify right side
    138,034.53x = 16,568,575,735.03
  5. Step 5: Solve for x
    x = 16,568,575,735.03/138,034.53
  6. Step 6: Final answer
    x = 120,032.11

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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.