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Finding the Fourth Proportional to 58,121.78, 87,171.18 and 15,991

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Solution

The fourth proportional to 58,121.78, 87,171.18 and 15,991 is: 23,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,121.78 : 87,171.18 = 15,991 : x
  2. Step 2: Convert to fraction form
    58,121.78/87,171.18 = 15,991/x
  3. Step 3: Cross multiply
    58,121.78x = 87,171.18 × 15,991
  4. Step 4: Simplify right side
    58,121.78x = 1,393,954,339.38
  5. Step 5: Solve for x
    x = 1,393,954,339.38/58,121.78
  6. Step 6: Final answer
    x = 23,983.34

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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.