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Finding the Fourth Proportional to 65,034.12, 89,821.13 and 43,776.48

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Solution

The fourth proportional to 65,034.12, 89,821.13 and 43,776.48 is: 60,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,034.12 : 89,821.13 = 43,776.48 : x
  2. Step 2: Convert to fraction form
    65,034.12/89,821.13 = 43,776.48/x
  3. Step 3: Cross multiply
    65,034.12x = 89,821.13 × 43,776.48
  4. Step 4: Simplify right side
    65,034.12x = 3,932,052,682.14
  5. Step 5: Solve for x
    x = 3,932,052,682.14/65,034.12
  6. Step 6: Final answer
    x = 60,461.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.