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Finding the Fourth Proportional to 120,769.41, 180,878.21 and 57,633.87

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Solution

The fourth proportional to 120,769.41, 180,878.21 and 57,633.87 is: 86,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,769.41 : 180,878.21 = 57,633.87 : x
  2. Step 2: Convert to fraction form
    120,769.41/180,878.21 = 57,633.87/x
  3. Step 3: Cross multiply
    120,769.41x = 180,878.21 × 57,633.87
  4. Step 4: Simplify right side
    120,769.41x = 10,424,711,240.97
  5. Step 5: Solve for x
    x = 10,424,711,240.97/120,769.41
  6. Step 6: Final answer
    x = 86,319.14

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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.