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Finding the Fourth Proportional to 82,906.80, 124,287.30 and 49,640.10

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Solution

The fourth proportional to 82,906.80, 124,287.30 and 49,640.10 is: 74,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,906.80 : 124,287.30 = 49,640.10 : x
  2. Step 2: Convert to fraction form
    82,906.80/124,287.30 = 49,640.10/x
  3. Step 3: Cross multiply
    82,906.80x = 124,287.30 × 49,640.10
  4. Step 4: Simplify right side
    82,906.80x = 6,169,634,000.73
  5. Step 5: Solve for x
    x = 6,169,634,000.73/82,906.80
  6. Step 6: Final answer
    x = 74,416.50

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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.