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Finding the Fourth Proportional to 55,482, 76,565.43 and 30,331.50

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Solution

The fourth proportional to 55,482, 76,565.43 and 30,331.50 is: 41,857.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,482 : 76,565.43 = 30,331.50 : x
  2. Step 2: Convert to fraction form
    55,482/76,565.43 = 30,331.50/x
  3. Step 3: Cross multiply
    55,482x = 76,565.43 × 30,331.50
  4. Step 4: Simplify right side
    55,482x = 2,322,344,340.05
  5. Step 5: Solve for x
    x = 2,322,344,340.05/55,482
  6. Step 6: Final answer
    x = 41,857.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.