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Finding the Fourth Proportional to 82,642.80, 124,079.40 and 51,538.80

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Solution

The fourth proportional to 82,642.80, 124,079.40 and 51,538.80 is: 77,380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,642.80 : 124,079.40 = 51,538.80 : x
  2. Step 2: Convert to fraction form
    82,642.80/124,079.40 = 51,538.80/x
  3. Step 3: Cross multiply
    82,642.80x = 124,079.40 × 51,538.80
  4. Step 4: Simplify right side
    82,642.80x = 6,394,903,380.72
  5. Step 5: Solve for x
    x = 6,394,903,380.72/82,642.80
  6. Step 6: Final answer
    x = 77,380.04

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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.