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Finding the Fourth Proportional to 115,915.89, 159,963.90 and 70,593.86

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Solution

The fourth proportional to 115,915.89, 159,963.90 and 70,593.86 is: 97,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,915.89 : 159,963.90 = 70,593.86 : x
  2. Step 2: Convert to fraction form
    115,915.89/159,963.90 = 70,593.86/x
  3. Step 3: Cross multiply
    115,915.89x = 159,963.90 × 70,593.86
  4. Step 4: Simplify right side
    115,915.89x = 11,292,469,296.84
  5. Step 5: Solve for x
    x = 11,292,469,296.84/115,915.89
  6. Step 6: Final answer
    x = 97,419.51

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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.