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Finding the Fourth Proportional to 120,034, 165,646.92 and 67,042

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Solution

The fourth proportional to 120,034, 165,646.92 and 67,042 is: 92,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,034 : 165,646.92 = 67,042 : x
  2. Step 2: Convert to fraction form
    120,034/165,646.92 = 67,042/x
  3. Step 3: Cross multiply
    120,034x = 165,646.92 × 67,042
  4. Step 4: Simplify right side
    120,034x = 11,105,300,810.64
  5. Step 5: Solve for x
    x = 11,105,300,810.64/120,034
  6. Step 6: Final answer
    x = 92,517.96

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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.