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Finding the Fourth Proportional to 65,654, 98,481 and 16,406

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Solution

The fourth proportional to 65,654, 98,481 and 16,406 is: 24,609

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,654 : 98,481 = 16,406 : x
  2. Step 2: Convert to fraction form
    65,654/98,481 = 16,406/x
  3. Step 3: Cross multiply
    65,654x = 98,481 × 16,406
  4. Step 4: Simplify right side
    65,654x = 1,615,679,286
  5. Step 5: Solve for x
    x = 1,615,679,286/65,654
  6. Step 6: Final answer
    x = 24,609

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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.