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Finding the Fourth Proportional to 65,139.80, 97,679.62 and 27,679.90

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Solution

The fourth proportional to 65,139.80, 97,679.62 and 27,679.90 is: 41,507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,139.80 : 97,679.62 = 27,679.90 : x
  2. Step 2: Convert to fraction form
    65,139.80/97,679.62 = 27,679.90/x
  3. Step 3: Cross multiply
    65,139.80x = 97,679.62 × 27,679.90
  4. Step 4: Simplify right side
    65,139.80x = 2,703,762,361.91
  5. Step 5: Solve for x
    x = 2,703,762,361.91/65,139.80
  6. Step 6: Final answer
    x = 41,507.08

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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.