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Finding the Fourth Proportional to 82,006.40, 123,009.60 and 81,315.20

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Solution

The fourth proportional to 82,006.40, 123,009.60 and 81,315.20 is: 121,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,006.40 : 123,009.60 = 81,315.20 : x
  2. Step 2: Convert to fraction form
    82,006.40/123,009.60 = 81,315.20/x
  3. Step 3: Cross multiply
    82,006.40x = 123,009.60 × 81,315.20
  4. Step 4: Simplify right side
    82,006.40x = 10,002,550,225.92
  5. Step 5: Solve for x
    x = 10,002,550,225.92/82,006.40
  6. Step 6: Final answer
    x = 121,972.80

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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.