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Finding the Fourth Proportional to 65,618, 98,427 and 21,281.84

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Solution

The fourth proportional to 65,618, 98,427 and 21,281.84 is: 31,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,618 : 98,427 = 21,281.84 : x
  2. Step 2: Convert to fraction form
    65,618/98,427 = 21,281.84/x
  3. Step 3: Cross multiply
    65,618x = 98,427 × 21,281.84
  4. Step 4: Simplify right side
    65,618x = 2,094,707,665.68
  5. Step 5: Solve for x
    x = 2,094,707,665.68/65,618
  6. Step 6: Final answer
    x = 31,922.76

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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.