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Finding the Fourth Proportional to 115,462.68, 159,337.98 and 65,161.32

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Solution

The fourth proportional to 115,462.68, 159,337.98 and 65,161.32 is: 89,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,462.68 : 159,337.98 = 65,161.32 : x
  2. Step 2: Convert to fraction form
    115,462.68/159,337.98 = 65,161.32/x
  3. Step 3: Cross multiply
    115,462.68x = 159,337.98 × 65,161.32
  4. Step 4: Simplify right side
    115,462.68x = 10,382,673,102.93
  5. Step 5: Solve for x
    x = 10,382,673,102.93/115,462.68
  6. Step 6: Final answer
    x = 89,922.33

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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.