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Finding the Fourth Proportional to 86,402.25, 129,603.38 and 20,738.25

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Solution

The fourth proportional to 86,402.25, 129,603.38 and 20,738.25 is: 31,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,402.25 : 129,603.38 = 20,738.25 : x
  2. Step 2: Convert to fraction form
    86,402.25/129,603.38 = 20,738.25/x
  3. Step 3: Cross multiply
    86,402.25x = 129,603.38 × 20,738.25
  4. Step 4: Simplify right side
    86,402.25x = 2,687,747,191.59
  5. Step 5: Solve for x
    x = 2,687,747,191.59/86,402.25
  6. Step 6: Final answer
    x = 31,107.38

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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.