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Finding the Fourth Proportional to 55,532.38, 76,635.80 and 30,382.42

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Solution

The fourth proportional to 55,532.38, 76,635.80 and 30,382.42 is: 41,928.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,532.38 : 76,635.80 = 30,382.42 : x
  2. Step 2: Convert to fraction form
    55,532.38/76,635.80 = 30,382.42/x
  3. Step 3: Cross multiply
    55,532.38x = 76,635.80 × 30,382.42
  4. Step 4: Simplify right side
    55,532.38x = 2,328,381,062.64
  5. Step 5: Solve for x
    x = 2,328,381,062.64/55,532.38
  6. Step 6: Final answer
    x = 41,928.35

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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.