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Finding the Fourth Proportional to 120,871.20, 181,306.80 and 78,880.80

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Solution

The fourth proportional to 120,871.20, 181,306.80 and 78,880.80 is: 118,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,871.20 : 181,306.80 = 78,880.80 : x
  2. Step 2: Convert to fraction form
    120,871.20/181,306.80 = 78,880.80/x
  3. Step 3: Cross multiply
    120,871.20x = 181,306.80 × 78,880.80
  4. Step 4: Simplify right side
    120,871.20x = 14,301,625,429.44
  5. Step 5: Solve for x
    x = 14,301,625,429.44/120,871.20
  6. Step 6: Final answer
    x = 118,321.20

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1.5x scale

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.