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Finding the Fourth Proportional to 54,561.65, 81,711.05 and 36,978.17

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Solution

The fourth proportional to 54,561.65, 81,711.05 and 36,978.17 is: 55,378.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,561.65 : 81,711.05 = 36,978.17 : x
  2. Step 2: Convert to fraction form
    54,561.65/81,711.05 = 36,978.17/x
  3. Step 3: Cross multiply
    54,561.65x = 81,711.05 × 36,978.17
  4. Step 4: Simplify right side
    54,561.65x = 3,021,525,097.78
  5. Step 5: Solve for x
    x = 3,021,525,097.78/54,561.65
  6. Step 6: Final answer
    x = 55,378.18

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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.