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Finding the Fourth Proportional to 120,668.34, 180,707.12 and 85,042.10

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Solution

The fourth proportional to 120,668.34, 180,707.12 and 85,042.10 is: 127,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,668.34 : 180,707.12 = 85,042.10 : x
  2. Step 2: Convert to fraction form
    120,668.34/180,707.12 = 85,042.10/x
  3. Step 3: Cross multiply
    120,668.34x = 180,707.12 × 85,042.10
  4. Step 4: Simplify right side
    120,668.34x = 15,367,712,969.75
  5. Step 5: Solve for x
    x = 15,367,712,969.75/120,668.34
  6. Step 6: Final answer
    x = 127,354.97

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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.