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Finding the Fourth Proportional to 65,230.60, 97,853.10 and 20,849.80

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Solution

The fourth proportional to 65,230.60, 97,853.10 and 20,849.80 is: 31,277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,230.60 : 97,853.10 = 20,849.80 : x
  2. Step 2: Convert to fraction form
    65,230.60/97,853.10 = 20,849.80/x
  3. Step 3: Cross multiply
    65,230.60x = 97,853.10 × 20,849.80
  4. Step 4: Simplify right side
    65,230.60x = 2,040,217,564.38
  5. Step 5: Solve for x
    x = 2,040,217,564.38/65,230.60
  6. Step 6: Final answer
    x = 31,277.00

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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.