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Finding the Fourth Proportional to 82,420.80, 123,631.20 and 23,255.70

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Solution

The fourth proportional to 82,420.80, 123,631.20 and 23,255.70 is: 34,883.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,420.80 : 123,631.20 = 23,255.70 : x
  2. Step 2: Convert to fraction form
    82,420.80/123,631.20 = 23,255.70/x
  3. Step 3: Cross multiply
    82,420.80x = 123,631.20 × 23,255.70
  4. Step 4: Simplify right side
    82,420.80x = 2,875,130,097.84
  5. Step 5: Solve for x
    x = 2,875,130,097.84/82,420.80
  6. Step 6: Final answer
    x = 34,883.55

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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.