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Finding the Fourth Proportional to 50,871.81, 70,122.21 and 40,099.22

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Solution

The fourth proportional to 50,871.81, 70,122.21 and 40,099.22 is: 55,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,871.81 : 70,122.21 = 40,099.22 : x
  2. Step 2: Convert to fraction form
    50,871.81/70,122.21 = 40,099.22/x
  3. Step 3: Cross multiply
    50,871.81x = 70,122.21 × 40,099.22
  4. Step 4: Simplify right side
    50,871.81x = 2,811,845,687.65
  5. Step 5: Solve for x
    x = 2,811,845,687.65/50,871.81
  6. Step 6: Final answer
    x = 55,273.16

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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.