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Finding the Fourth Proportional to 65,176.65, 97,770.24 and 20,809.71

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Solution

The fourth proportional to 65,176.65, 97,770.24 and 20,809.71 is: 31,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,176.65 : 97,770.24 = 20,809.71 : x
  2. Step 2: Convert to fraction form
    65,176.65/97,770.24 = 20,809.71/x
  3. Step 3: Cross multiply
    65,176.65x = 97,770.24 × 20,809.71
  4. Step 4: Simplify right side
    65,176.65x = 2,034,570,341.03
  5. Step 5: Solve for x
    x = 2,034,570,341.03/65,176.65
  6. Step 6: Final answer
    x = 31,216.25

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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.