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Finding the Fourth Proportional to 82,836.90, 124,291.80 and 38,440.80

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Solution

The fourth proportional to 82,836.90, 124,291.80 and 38,440.80 is: 57,678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,836.90 : 124,291.80 = 38,440.80 : x
  2. Step 2: Convert to fraction form
    82,836.90/124,291.80 = 38,440.80/x
  3. Step 3: Cross multiply
    82,836.90x = 124,291.80 × 38,440.80
  4. Step 4: Simplify right side
    82,836.90x = 4,777,876,225.44
  5. Step 5: Solve for x
    x = 4,777,876,225.44/82,836.90
  6. Step 6: Final answer
    x = 57,678.11

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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.