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Finding the Fourth Proportional to 55,974.06, 83,961 and 38,390.58

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Solution

The fourth proportional to 55,974.06, 83,961 and 38,390.58 is: 57,585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,974.06 : 83,961 = 38,390.58 : x
  2. Step 2: Convert to fraction form
    55,974.06/83,961 = 38,390.58/x
  3. Step 3: Cross multiply
    55,974.06x = 83,961 × 38,390.58
  4. Step 4: Simplify right side
    55,974.06x = 3,223,311,487.38
  5. Step 5: Solve for x
    x = 3,223,311,487.38/55,974.06
  6. Step 6: Final answer
    x = 57,585.81

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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.