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Finding the Fourth Proportional to 72,742.97, 100,431.42 and 49,811.16

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Solution

The fourth proportional to 72,742.97, 100,431.42 and 49,811.16 is: 68,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,742.97 : 100,431.42 = 49,811.16 : x
  2. Step 2: Convert to fraction form
    72,742.97/100,431.42 = 49,811.16/x
  3. Step 3: Cross multiply
    72,742.97x = 100,431.42 × 49,811.16
  4. Step 4: Simplify right side
    72,742.97x = 5,002,605,343.86
  5. Step 5: Solve for x
    x = 5,002,605,343.86/72,742.97
  6. Step 6: Final answer
    x = 68,770.98

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1.5x scale

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.