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Finding the Fourth Proportional to 82,155.40, 123,233.10 and 54,453.40

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Solution

The fourth proportional to 82,155.40, 123,233.10 and 54,453.40 is: 81,680.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,155.40 : 123,233.10 = 54,453.40 : x
  2. Step 2: Convert to fraction form
    82,155.40/123,233.10 = 54,453.40/x
  3. Step 3: Cross multiply
    82,155.40x = 123,233.10 × 54,453.40
  4. Step 4: Simplify right side
    82,155.40x = 6,710,461,287.54
  5. Step 5: Solve for x
    x = 6,710,461,287.54/82,155.40
  6. Step 6: Final answer
    x = 81,680.10

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Similar ratio
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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.