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Finding the Fourth Proportional to 75,275.72, 103,789.68 and 65,048.48

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Solution

The fourth proportional to 75,275.72, 103,789.68 and 65,048.48 is: 89,688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,275.72 : 103,789.68 = 65,048.48 : x
  2. Step 2: Convert to fraction form
    75,275.72/103,789.68 = 65,048.48/x
  3. Step 3: Cross multiply
    75,275.72x = 103,789.68 × 65,048.48
  4. Step 4: Simplify right side
    75,275.72x = 6,751,360,923.69
  5. Step 5: Solve for x
    x = 6,751,360,923.69/75,275.72
  6. Step 6: Final answer
    x = 89,688.43

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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.