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Finding the Fourth Proportional to 137,610.80, 206,416.20 and 85,122.80

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Solution

The fourth proportional to 137,610.80, 206,416.20 and 85,122.80 is: 127,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,610.80 : 206,416.20 = 85,122.80 : x
  2. Step 2: Convert to fraction form
    137,610.80/206,416.20 = 85,122.80/x
  3. Step 3: Cross multiply
    137,610.80x = 206,416.20 × 85,122.80
  4. Step 4: Simplify right side
    137,610.80x = 17,570,724,909.36
  5. Step 5: Solve for x
    x = 17,570,724,909.36/137,610.80
  6. Step 6: Final answer
    x = 127,684.20

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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.