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Finding the Fourth Proportional to 75,558.91, 104,218.23 and 65,469.43

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Solution

The fourth proportional to 75,558.91, 104,218.23 and 65,469.43 is: 90,301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,558.91 : 104,218.23 = 65,469.43 : x
  2. Step 2: Convert to fraction form
    75,558.91/104,218.23 = 65,469.43/x
  3. Step 3: Cross multiply
    75,558.91x = 104,218.23 × 65,469.43
  4. Step 4: Simplify right side
    75,558.91x = 6,823,108,113.71
  5. Step 5: Solve for x
    x = 6,823,108,113.71/75,558.91
  6. Step 6: Final answer
    x = 90,301.83

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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.