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Finding the Fourth Proportional to 54,117, 81,176.72 and 18,578.25

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Solution

The fourth proportional to 54,117, 81,176.72 and 18,578.25 is: 27,867.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,117 : 81,176.72 = 18,578.25 : x
  2. Step 2: Convert to fraction form
    54,117/81,176.72 = 18,578.25/x
  3. Step 3: Cross multiply
    54,117x = 81,176.72 × 18,578.25
  4. Step 4: Simplify right side
    54,117x = 1,508,121,305.45
  5. Step 5: Solve for x
    x = 1,508,121,305.45/54,117
  6. Step 6: Final answer
    x = 27,867.79

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1.5x scale

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.