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Finding the Fourth Proportional to 115,428.50, 159,301.05 and 65,137.22

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Solution

The fourth proportional to 115,428.50, 159,301.05 and 65,137.22 is: 89,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,428.50 : 159,301.05 = 65,137.22 : x
  2. Step 2: Convert to fraction form
    115,428.50/159,301.05 = 65,137.22/x
  3. Step 3: Cross multiply
    115,428.50x = 159,301.05 × 65,137.22
  4. Step 4: Simplify right side
    115,428.50x = 10,376,427,540.08
  5. Step 5: Solve for x
    x = 10,376,427,540.08/115,428.50
  6. Step 6: Final answer
    x = 89,894.85

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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.