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Finding the Fourth Proportional to 100,671.84, 151,058.52 and 71,278.56

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Solution

The fourth proportional to 100,671.84, 151,058.52 and 71,278.56 is: 106,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,671.84 : 151,058.52 = 71,278.56 : x
  2. Step 2: Convert to fraction form
    100,671.84/151,058.52 = 71,278.56/x
  3. Step 3: Cross multiply
    100,671.84x = 151,058.52 × 71,278.56
  4. Step 4: Simplify right side
    100,671.84x = 10,767,233,781.33
  5. Step 5: Solve for x
    x = 10,767,233,781.33/100,671.84
  6. Step 6: Final answer
    x = 106,953.78

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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.