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Finding the Fourth Proportional to 120,231.81, 165,920.00 and 72,472.59

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Solution

The fourth proportional to 120,231.81, 165,920.00 and 72,472.59 is: 100,012.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,231.81 : 165,920.00 = 72,472.59 : x
  2. Step 2: Convert to fraction form
    120,231.81/165,920.00 = 72,472.59/x
  3. Step 3: Cross multiply
    120,231.81x = 165,920.00 × 72,472.59
  4. Step 4: Simplify right side
    120,231.81x = 12,024,651,770.44
  5. Step 5: Solve for x
    x = 12,024,651,770.44/120,231.81
  6. Step 6: Final answer
    x = 100,012.23

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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.