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Finding the Fourth Proportional to 73,006.94, 100,754.28 and 42,781.25

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Solution

The fourth proportional to 73,006.94, 100,754.28 and 42,781.25 is: 59,040.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,006.94 : 100,754.28 = 42,781.25 : x
  2. Step 2: Convert to fraction form
    73,006.94/100,754.28 = 42,781.25/x
  3. Step 3: Cross multiply
    73,006.94x = 100,754.28 × 42,781.25
  4. Step 4: Simplify right side
    73,006.94x = 4,310,394,293.14
  5. Step 5: Solve for x
    x = 4,310,394,293.14/73,006.94
  6. Step 6: Final answer
    x = 59,040.88

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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.