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Finding the Fourth Proportional to 137,840.20, 206,760.30 and 54,734.20

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Solution

The fourth proportional to 137,840.20, 206,760.30 and 54,734.20 is: 82,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,840.20 : 206,760.30 = 54,734.20 : x
  2. Step 2: Convert to fraction form
    137,840.20/206,760.30 = 54,734.20/x
  3. Step 3: Cross multiply
    137,840.20x = 206,760.30 × 54,734.20
  4. Step 4: Simplify right side
    137,840.20x = 11,316,859,612.26
  5. Step 5: Solve for x
    x = 11,316,859,612.26/137,840.20
  6. Step 6: Final answer
    x = 82,101.30

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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.