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Finding the Fourth Proportional to 86,201.22, 129,258 and 39,414

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Solution

The fourth proportional to 86,201.22, 129,258 and 39,414 is: 59,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,201.22 : 129,258 = 39,414 : x
  2. Step 2: Convert to fraction form
    86,201.22/129,258 = 39,414/x
  3. Step 3: Cross multiply
    86,201.22x = 129,258 × 39,414
  4. Step 4: Simplify right side
    86,201.22x = 5,094,574,812
  5. Step 5: Solve for x
    x = 5,094,574,812/86,201.22
  6. Step 6: Final answer
    x = 59,100.96

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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.