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Finding the Fourth Proportional to 65,217.44, 89,978.49 and 45,067.07

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Solution

The fourth proportional to 65,217.44, 89,978.49 and 45,067.07 is: 62,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,217.44 : 89,978.49 = 45,067.07 : x
  2. Step 2: Convert to fraction form
    65,217.44/89,978.49 = 45,067.07/x
  3. Step 3: Cross multiply
    65,217.44x = 89,978.49 × 45,067.07
  4. Step 4: Simplify right side
    65,217.44x = 4,055,066,457.43
  5. Step 5: Solve for x
    x = 4,055,066,457.43/65,217.44
  6. Step 6: Final answer
    x = 62,177.64

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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.