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Finding the Fourth Proportional to 82,420.74, 123,324.75 and 49,158.90

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Solution

The fourth proportional to 82,420.74, 123,324.75 and 49,158.90 is: 73,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,420.74 : 123,324.75 = 49,158.90 : x
  2. Step 2: Convert to fraction form
    82,420.74/123,324.75 = 49,158.90/x
  3. Step 3: Cross multiply
    82,420.74x = 123,324.75 × 49,158.90
  4. Step 4: Simplify right side
    82,420.74x = 6,062,509,052.78
  5. Step 5: Solve for x
    x = 6,062,509,052.78/82,420.74
  6. Step 6: Final answer
    x = 73,555.63

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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.