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Finding the Fourth Proportional to 81,302.97, 121,796.49 and 59,916.84

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Solution

The fourth proportional to 81,302.97, 121,796.49 and 59,916.84 is: 89,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,302.97 : 121,796.49 = 59,916.84 : x
  2. Step 2: Convert to fraction form
    81,302.97/121,796.49 = 59,916.84/x
  3. Step 3: Cross multiply
    81,302.97x = 121,796.49 × 59,916.84
  4. Step 4: Simplify right side
    81,302.97x = 7,297,660,803.89
  5. Step 5: Solve for x
    x = 7,297,660,803.89/81,302.97
  6. Step 6: Final answer
    x = 89,758.85

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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.