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Finding the Fourth Proportional to 67,871.97, 93,718.35 and 42,408

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Solution

The fourth proportional to 67,871.97, 93,718.35 and 42,408 is: 58,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,871.97 : 93,718.35 = 42,408 : x
  2. Step 2: Convert to fraction form
    67,871.97/93,718.35 = 42,408/x
  3. Step 3: Cross multiply
    67,871.97x = 93,718.35 × 42,408
  4. Step 4: Simplify right side
    67,871.97x = 3,974,407,786.80
  5. Step 5: Solve for x
    x = 3,974,407,786.80/67,871.97
  6. Step 6: Final answer
    x = 58,557.42

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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.