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Finding the Fourth Proportional to 65,344, 98,016 and 28,408

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Solution

The fourth proportional to 65,344, 98,016 and 28,408 is: 42,612

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,344 : 98,016 = 28,408 : x
  2. Step 2: Convert to fraction form
    65,344/98,016 = 28,408/x
  3. Step 3: Cross multiply
    65,344x = 98,016 × 28,408
  4. Step 4: Simplify right side
    65,344x = 2,784,438,528
  5. Step 5: Solve for x
    x = 2,784,438,528/65,344
  6. Step 6: Final answer
    x = 42,612

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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.