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Finding the Fourth Proportional to 108,186, 162,279 and 38,057.28

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Solution

The fourth proportional to 108,186, 162,279 and 38,057.28 is: 57,085.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,186 : 162,279 = 38,057.28 : x
  2. Step 2: Convert to fraction form
    108,186/162,279 = 38,057.28/x
  3. Step 3: Cross multiply
    108,186x = 162,279 × 38,057.28
  4. Step 4: Simplify right side
    108,186x = 6,175,897,341.12
  5. Step 5: Solve for x
    x = 6,175,897,341.12/108,186
  6. Step 6: Final answer
    x = 57,085.92

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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.