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Finding the Fourth Proportional to 108,264.51, 162,393.12 and 38,142

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Solution

The fourth proportional to 108,264.51, 162,393.12 and 38,142 is: 57,211.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,264.51 : 162,393.12 = 38,142 : x
  2. Step 2: Convert to fraction form
    108,264.51/162,393.12 = 38,142/x
  3. Step 3: Cross multiply
    108,264.51x = 162,393.12 × 38,142
  4. Step 4: Simplify right side
    108,264.51x = 6,193,998,383.04
  5. Step 5: Solve for x
    x = 6,193,998,383.04/108,264.51
  6. Step 6: Final answer
    x = 57,211.72

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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.