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Finding the Fourth Proportional to 73,991.78, 102,109.05 and 40,457.78

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Solution

The fourth proportional to 73,991.78, 102,109.05 and 40,457.78 is: 55,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,991.78 : 102,109.05 = 40,457.78 : x
  2. Step 2: Convert to fraction form
    73,991.78/102,109.05 = 40,457.78/x
  3. Step 3: Cross multiply
    73,991.78x = 102,109.05 × 40,457.78
  4. Step 4: Simplify right side
    73,991.78x = 4,131,105,480.91
  5. Step 5: Solve for x
    x = 4,131,105,480.91/73,991.78
  6. Step 6: Final answer
    x = 55,831.95

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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.