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Finding the Fourth Proportional to 62,422.31, 86,143.10 and 34,128

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Solution

The fourth proportional to 62,422.31, 86,143.10 and 34,128 is: 47,096.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,422.31 : 86,143.10 = 34,128 : x
  2. Step 2: Convert to fraction form
    62,422.31/86,143.10 = 34,128/x
  3. Step 3: Cross multiply
    62,422.31x = 86,143.10 × 34,128
  4. Step 4: Simplify right side
    62,422.31x = 2,939,891,546.16
  5. Step 5: Solve for x
    x = 2,939,891,546.16/62,422.31
  6. Step 6: Final answer
    x = 47,096.81

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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.