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Finding the Fourth Proportional to 65,144.69, 97,716.02 and 20,771.15

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Solution

The fourth proportional to 65,144.69, 97,716.02 and 20,771.15 is: 31,156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,144.69 : 97,716.02 = 20,771.15 : x
  2. Step 2: Convert to fraction form
    65,144.69/97,716.02 = 20,771.15/x
  3. Step 3: Cross multiply
    65,144.69x = 97,716.02 × 20,771.15
  4. Step 4: Simplify right side
    65,144.69x = 2,029,674,066.04
  5. Step 5: Solve for x
    x = 2,029,674,066.04/65,144.69
  6. Step 6: Final answer
    x = 31,156.40

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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.