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Finding the Fourth Proportional to 108,174, 162,261 and 38,045.28

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Solution

The fourth proportional to 108,174, 162,261 and 38,045.28 is: 57,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,174 : 162,261 = 38,045.28 : x
  2. Step 2: Convert to fraction form
    108,174/162,261 = 38,045.28/x
  3. Step 3: Cross multiply
    108,174x = 162,261 × 38,045.28
  4. Step 4: Simplify right side
    108,174x = 6,173,265,178.08
  5. Step 5: Solve for x
    x = 6,173,265,178.08/108,174
  6. Step 6: Final answer
    x = 57,067.92

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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.