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Finding the Fourth Proportional to 72,674.48, 100,278.62 and 40,408.20

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Solution

The fourth proportional to 72,674.48, 100,278.62 and 40,408.20 is: 55,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,674.48 : 100,278.62 = 40,408.20 : x
  2. Step 2: Convert to fraction form
    72,674.48/100,278.62 = 40,408.20/x
  3. Step 3: Cross multiply
    72,674.48x = 100,278.62 × 40,408.20
  4. Step 4: Simplify right side
    72,674.48x = 4,052,077,829.25
  5. Step 5: Solve for x
    x = 4,052,077,829.25/72,674.48
  6. Step 6: Final answer
    x = 55,756.55

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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.