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Finding the Fourth Proportional to 118,945.13, 164,143.13 and 65,229.98

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Solution

The fourth proportional to 118,945.13, 164,143.13 and 65,229.98 is: 90,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,945.13 : 164,143.13 = 65,229.98 : x
  2. Step 2: Convert to fraction form
    118,945.13/164,143.13 = 65,229.98/x
  3. Step 3: Cross multiply
    118,945.13x = 164,143.13 × 65,229.98
  4. Step 4: Simplify right side
    118,945.13x = 10,707,051,940.17
  5. Step 5: Solve for x
    x = 10,707,051,940.17/118,945.13
  6. Step 6: Final answer
    x = 90,016.74

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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.