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Finding the Fourth Proportional to 137,952.20, 206,928.30 and 54,846.20

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Solution

The fourth proportional to 137,952.20, 206,928.30 and 54,846.20 is: 82,269.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,952.20 : 206,928.30 = 54,846.20 : x
  2. Step 2: Convert to fraction form
    137,952.20/206,928.30 = 54,846.20/x
  3. Step 3: Cross multiply
    137,952.20x = 206,928.30 × 54,846.20
  4. Step 4: Simplify right side
    137,952.20x = 11,349,230,927.46
  5. Step 5: Solve for x
    x = 11,349,230,927.46/137,952.20
  6. Step 6: Final answer
    x = 82,269.30

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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.