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Finding the Fourth Proportional to 82,764, 124,170.48 and 47,728.80

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Solution

The fourth proportional to 82,764, 124,170.48 and 47,728.80 is: 71,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,764 : 124,170.48 = 47,728.80 : x
  2. Step 2: Convert to fraction form
    82,764/124,170.48 = 47,728.80/x
  3. Step 3: Cross multiply
    82,764x = 124,170.48 × 47,728.80
  4. Step 4: Simplify right side
    82,764x = 5,926,508,005.82
  5. Step 5: Solve for x
    x = 5,926,508,005.82/82,764
  6. Step 6: Final answer
    x = 71,607.32

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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.