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Finding the Fourth Proportional to 65,186.66, 97,795.24 and 20,205.66

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Solution

The fourth proportional to 65,186.66, 97,795.24 and 20,205.66 is: 30,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,186.66 : 97,795.24 = 20,205.66 : x
  2. Step 2: Convert to fraction form
    65,186.66/97,795.24 = 20,205.66/x
  3. Step 3: Cross multiply
    65,186.66x = 97,795.24 × 20,205.66
  4. Step 4: Simplify right side
    65,186.66x = 1,976,017,369.06
  5. Step 5: Solve for x
    x = 1,976,017,369.06/65,186.66
  6. Step 6: Final answer
    x = 30,313.22

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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.