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Finding the Fourth Proportional to 75,004.82, 103,584.12 and 64,884.68

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Solution

The fourth proportional to 75,004.82, 103,584.12 and 64,884.68 is: 89,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,004.82 : 103,584.12 = 64,884.68 : x
  2. Step 2: Convert to fraction form
    75,004.82/103,584.12 = 64,884.68/x
  3. Step 3: Cross multiply
    75,004.82x = 103,584.12 × 64,884.68
  4. Step 4: Simplify right side
    75,004.82x = 6,721,022,479.28
  5. Step 5: Solve for x
    x = 6,721,022,479.28/75,004.82
  6. Step 6: Final answer
    x = 89,607.87

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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.