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Finding the Fourth Proportional to 115,294.13, 159,105.89 and 64,993.13

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Solution

The fourth proportional to 115,294.13, 159,105.89 and 64,993.13 is: 89,690.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,294.13 : 159,105.89 = 64,993.13 : x
  2. Step 2: Convert to fraction form
    115,294.13/159,105.89 = 64,993.13/x
  3. Step 3: Cross multiply
    115,294.13x = 159,105.89 × 64,993.13
  4. Step 4: Simplify right side
    115,294.13x = 10,340,789,159.49
  5. Step 5: Solve for x
    x = 10,340,789,159.49/115,294.13
  6. Step 6: Final answer
    x = 89,690.51

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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.