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Finding the Fourth Proportional to 120,082.74, 165,724.29 and 69,778.50

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Solution

The fourth proportional to 120,082.74, 165,724.29 and 69,778.50 is: 96,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,082.74 : 165,724.29 = 69,778.50 : x
  2. Step 2: Convert to fraction form
    120,082.74/165,724.29 = 69,778.50/x
  3. Step 3: Cross multiply
    120,082.74x = 165,724.29 × 69,778.50
  4. Step 4: Simplify right side
    120,082.74x = 11,563,992,369.77
  5. Step 5: Solve for x
    x = 11,563,992,369.77/120,082.74
  6. Step 6: Final answer
    x = 96,300.20

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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.