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Finding the Fourth Proportional to 120,204.81, 165,882.74 and 72,445.59

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Solution

The fourth proportional to 120,204.81, 165,882.74 and 72,445.59 is: 99,974.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,204.81 : 165,882.74 = 72,445.59 : x
  2. Step 2: Convert to fraction form
    120,204.81/165,882.74 = 72,445.59/x
  3. Step 3: Cross multiply
    120,204.81x = 165,882.74 × 72,445.59
  4. Step 4: Simplify right side
    120,204.81x = 12,017,472,607.89
  5. Step 5: Solve for x
    x = 12,017,472,607.89/120,204.81
  6. Step 6: Final answer
    x = 99,974.97

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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.