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Finding the Fourth Proportional to 102,540.66, 153,821.97 and 43,382.31

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Solution

The fourth proportional to 102,540.66, 153,821.97 and 43,382.31 is: 65,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,540.66 : 153,821.97 = 43,382.31 : x
  2. Step 2: Convert to fraction form
    102,540.66/153,821.97 = 43,382.31/x
  3. Step 3: Cross multiply
    102,540.66x = 153,821.97 × 43,382.31
  4. Step 4: Simplify right side
    102,540.66x = 6,673,152,387.35
  5. Step 5: Solve for x
    x = 6,673,152,387.35/102,540.66
  6. Step 6: Final answer
    x = 65,078.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.