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Finding the Fourth Proportional to 81,438.98, 122,073.21 and 34,081.21

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Solution

The fourth proportional to 81,438.98, 122,073.21 and 34,081.21 is: 51,086.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,438.98 : 122,073.21 = 34,081.21 : x
  2. Step 2: Convert to fraction form
    81,438.98/122,073.21 = 34,081.21/x
  3. Step 3: Cross multiply
    81,438.98x = 122,073.21 × 34,081.21
  4. Step 4: Simplify right side
    81,438.98x = 4,160,402,315.09
  5. Step 5: Solve for x
    x = 4,160,402,315.09/81,438.98
  6. Step 6: Final answer
    x = 51,086.13

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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.