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Finding the Fourth Proportional to 55,073.53, 76,002 and 31,199.69

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Solution

The fourth proportional to 55,073.53, 76,002 and 31,199.69 is: 43,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,073.53 : 76,002 = 31,199.69 : x
  2. Step 2: Convert to fraction form
    55,073.53/76,002 = 31,199.69/x
  3. Step 3: Cross multiply
    55,073.53x = 76,002 × 31,199.69
  4. Step 4: Simplify right side
    55,073.53x = 2,371,238,839.38
  5. Step 5: Solve for x
    x = 2,371,238,839.38/55,073.53
  6. Step 6: Final answer
    x = 43,055.88

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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.