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Finding the Fourth Proportional to 65,754, 98,643.96 and 21,381.84

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Solution

The fourth proportional to 65,754, 98,643.96 and 21,381.84 is: 32,076.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,754 : 98,643.96 = 21,381.84 : x
  2. Step 2: Convert to fraction form
    65,754/98,643.96 = 21,381.84/x
  3. Step 3: Cross multiply
    65,754x = 98,643.96 × 21,381.84
  4. Step 4: Simplify right side
    65,754x = 2,109,189,369.69
  5. Step 5: Solve for x
    x = 2,109,189,369.69/65,754
  6. Step 6: Final answer
    x = 32,076.97

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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.