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Finding the Fourth Proportional to 75,153.81, 103,712.36 and 43,324.86

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Solution

The fourth proportional to 75,153.81, 103,712.36 and 43,324.86 is: 59,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,153.81 : 103,712.36 = 43,324.86 : x
  2. Step 2: Convert to fraction form
    75,153.81/103,712.36 = 43,324.86/x
  3. Step 3: Cross multiply
    75,153.81x = 103,712.36 × 43,324.86
  4. Step 4: Simplify right side
    75,153.81x = 4,493,323,477.27
  5. Step 5: Solve for x
    x = 4,493,323,477.27/75,153.81
  6. Step 6: Final answer
    x = 59,788.37

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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.