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Finding the Fourth Proportional to 115,888.53, 159,912.96 and 64,894.17

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Solution

The fourth proportional to 115,888.53, 159,912.96 and 64,894.17 is: 89,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,888.53 : 159,912.96 = 64,894.17 : x
  2. Step 2: Convert to fraction form
    115,888.53/159,912.96 = 64,894.17/x
  3. Step 3: Cross multiply
    115,888.53x = 159,912.96 × 64,894.17
  4. Step 4: Simplify right side
    115,888.53x = 10,377,418,811.44
  5. Step 5: Solve for x
    x = 10,377,418,811.44/115,888.53
  6. Step 6: Final answer
    x = 89,546.56

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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.