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Finding the Fourth Proportional to 120,116.16, 165,760.29 and 65,668.53

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Solution

The fourth proportional to 120,116.16, 165,760.29 and 65,668.53 is: 90,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,116.16 : 165,760.29 = 65,668.53 : x
  2. Step 2: Convert to fraction form
    120,116.16/165,760.29 = 65,668.53/x
  3. Step 3: Cross multiply
    120,116.16x = 165,760.29 × 65,668.53
  4. Step 4: Simplify right side
    120,116.16x = 10,885,234,576.67
  5. Step 5: Solve for x
    x = 10,885,234,576.67/120,116.16
  6. Step 6: Final answer
    x = 90,622.57

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1.5x scale

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.