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Finding the Fourth Proportional to 82,122.40, 123,232.20 and 54,123.40

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Solution

The fourth proportional to 82,122.40, 123,232.20 and 54,123.40 is: 81,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,122.40 : 123,232.20 = 54,123.40 : x
  2. Step 2: Convert to fraction form
    82,122.40/123,232.20 = 54,123.40/x
  3. Step 3: Cross multiply
    82,122.40x = 123,232.20 × 54,123.40
  4. Step 4: Simplify right side
    82,122.40x = 6,669,745,653.48
  5. Step 5: Solve for x
    x = 6,669,745,653.48/82,122.40
  6. Step 6: Final answer
    x = 81,217.13

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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.