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Finding the Fourth Proportional to 54,739.70, 82,111.98 and 21,456.80

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Solution

The fourth proportional to 54,739.70, 82,111.98 and 21,456.80 is: 32,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,739.70 : 82,111.98 = 21,456.80 : x
  2. Step 2: Convert to fraction form
    54,739.70/82,111.98 = 21,456.80/x
  3. Step 3: Cross multiply
    54,739.70x = 82,111.98 × 21,456.80
  4. Step 4: Simplify right side
    54,739.70x = 1,761,860,332.46
  5. Step 5: Solve for x
    x = 1,761,860,332.46/54,739.70
  6. Step 6: Final answer
    x = 32,186.15

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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.