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Finding the Fourth Proportional to 73,135.25, 109,702.89 and 17,731.25

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Solution

The fourth proportional to 73,135.25, 109,702.89 and 17,731.25 is: 26,596.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,135.25 : 109,702.89 = 17,731.25 : x
  2. Step 2: Convert to fraction form
    73,135.25/109,702.89 = 17,731.25/x
  3. Step 3: Cross multiply
    73,135.25x = 109,702.89 × 17,731.25
  4. Step 4: Simplify right side
    73,135.25x = 1,945,169,368.31
  5. Step 5: Solve for x
    x = 1,945,169,368.31/73,135.25
  6. Step 6: Final answer
    x = 26,596.88

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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.