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Finding the Fourth Proportional to 115,888.17, 159,912.42 and 64,893.81

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Solution

The fourth proportional to 115,888.17, 159,912.42 and 64,893.81 is: 89,546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,888.17 : 159,912.42 = 64,893.81 : x
  2. Step 2: Convert to fraction form
    115,888.17/159,912.42 = 64,893.81/x
  3. Step 3: Cross multiply
    115,888.17x = 159,912.42 × 64,893.81
  4. Step 4: Simplify right side
    115,888.17x = 10,377,326,200.12
  5. Step 5: Solve for x
    x = 10,377,326,200.12/115,888.17
  6. Step 6: Final answer
    x = 89,546.04

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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.