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Finding the Fourth Proportional to 73,130.25, 109,695.38 and 17,726.25

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Solution

The fourth proportional to 73,130.25, 109,695.38 and 17,726.25 is: 26,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,130.25 : 109,695.38 = 17,726.25 : x
  2. Step 2: Convert to fraction form
    73,130.25/109,695.38 = 17,726.25/x
  3. Step 3: Cross multiply
    73,130.25x = 109,695.38 × 17,726.25
  4. Step 4: Simplify right side
    73,130.25x = 1,944,487,729.73
  5. Step 5: Solve for x
    x = 1,944,487,729.73/73,130.25
  6. Step 6: Final answer
    x = 26,589.38

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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.