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Finding the Fourth Proportional to 65,676, 98,514 and 16,428

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Solution

The fourth proportional to 65,676, 98,514 and 16,428 is: 24,642

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,676 : 98,514 = 16,428 : x
  2. Step 2: Convert to fraction form
    65,676/98,514 = 16,428/x
  3. Step 3: Cross multiply
    65,676x = 98,514 × 16,428
  4. Step 4: Simplify right side
    65,676x = 1,618,387,992
  5. Step 5: Solve for x
    x = 1,618,387,992/65,676
  6. Step 6: Final answer
    x = 24,642

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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.