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Finding the Fourth Proportional to 118,945.68, 164,149.78 and 65,232.65

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Solution

The fourth proportional to 118,945.68, 164,149.78 and 65,232.65 is: 90,023.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,945.68 : 164,149.78 = 65,232.65 : x
  2. Step 2: Convert to fraction form
    118,945.68/164,149.78 = 65,232.65/x
  3. Step 3: Cross multiply
    118,945.68x = 164,149.78 × 65,232.65
  4. Step 4: Simplify right side
    118,945.68x = 10,707,925,393.61
  5. Step 5: Solve for x
    x = 10,707,925,393.61/118,945.68
  6. Step 6: Final answer
    x = 90,023.66

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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.