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Finding the Fourth Proportional to 54,773.75, 82,160.63 and 13,220.75

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Solution

The fourth proportional to 54,773.75, 82,160.63 and 13,220.75 is: 19,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,773.75 : 82,160.63 = 13,220.75 : x
  2. Step 2: Convert to fraction form
    54,773.75/82,160.63 = 13,220.75/x
  3. Step 3: Cross multiply
    54,773.75x = 82,160.63 × 13,220.75
  4. Step 4: Simplify right side
    54,773.75x = 1,086,225,337.95
  5. Step 5: Solve for x
    x = 1,086,225,337.95/54,773.75
  6. Step 6: Final answer
    x = 19,831.13

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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.