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Finding the Fourth Proportional to 65,177.65, 97,771.74 and 20,810.71

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Solution

The fourth proportional to 65,177.65, 97,771.74 and 20,810.71 is: 31,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,177.65 : 97,771.74 = 20,810.71 : x
  2. Step 2: Convert to fraction form
    65,177.65/97,771.74 = 20,810.71/x
  3. Step 3: Cross multiply
    65,177.65x = 97,771.74 × 20,810.71
  4. Step 4: Simplify right side
    65,177.65x = 2,034,699,327.34
  5. Step 5: Solve for x
    x = 2,034,699,327.34/65,177.65
  6. Step 6: Final answer
    x = 31,217.75

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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.