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Finding the Fourth Proportional to 55,642.38, 76,813.10 and 31,764.44

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Solution

The fourth proportional to 55,642.38, 76,813.10 and 31,764.44 is: 43,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,642.38 : 76,813.10 = 31,764.44 : x
  2. Step 2: Convert to fraction form
    55,642.38/76,813.10 = 31,764.44/x
  3. Step 3: Cross multiply
    55,642.38x = 76,813.10 × 31,764.44
  4. Step 4: Simplify right side
    55,642.38x = 2,439,925,258.49
  5. Step 5: Solve for x
    x = 2,439,925,258.49/55,642.38
  6. Step 6: Final answer
    x = 43,850.13

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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.