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Finding the Fourth Proportional to 82,138.40, 123,207.60 and 78,912.80

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Solution

The fourth proportional to 82,138.40, 123,207.60 and 78,912.80 is: 118,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,138.40 : 123,207.60 = 78,912.80 : x
  2. Step 2: Convert to fraction form
    82,138.40/123,207.60 = 78,912.80/x
  3. Step 3: Cross multiply
    82,138.40x = 123,207.60 × 78,912.80
  4. Step 4: Simplify right side
    82,138.40x = 9,722,656,697.28
  5. Step 5: Solve for x
    x = 9,722,656,697.28/82,138.40
  6. Step 6: Final answer
    x = 118,369.20

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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.