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Finding the Fourth Proportional to 82,275.20, 123,412.80 and 40,803.20

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Solution

The fourth proportional to 82,275.20, 123,412.80 and 40,803.20 is: 61,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,275.20 : 123,412.80 = 40,803.20 : x
  2. Step 2: Convert to fraction form
    82,275.20/123,412.80 = 40,803.20/x
  3. Step 3: Cross multiply
    82,275.20x = 123,412.80 × 40,803.20
  4. Step 4: Simplify right side
    82,275.20x = 5,035,637,160.96
  5. Step 5: Solve for x
    x = 5,035,637,160.96/82,275.20
  6. Step 6: Final answer
    x = 61,204.80

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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.