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Finding the Fourth Proportional to 82,223.20, 123,334.80 and 40,751.20

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Solution

The fourth proportional to 82,223.20, 123,334.80 and 40,751.20 is: 61,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,223.20 : 123,334.80 = 40,751.20 : x
  2. Step 2: Convert to fraction form
    82,223.20/123,334.80 = 40,751.20/x
  3. Step 3: Cross multiply
    82,223.20x = 123,334.80 × 40,751.20
  4. Step 4: Simplify right side
    82,223.20x = 5,026,041,101.76
  5. Step 5: Solve for x
    x = 5,026,041,101.76/82,223.20
  6. Step 6: Final answer
    x = 61,126.80

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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.