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Finding the Fourth Proportional to 57,478, 86,133.54 and 40,871.44

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Solution

The fourth proportional to 57,478, 86,133.54 and 40,871.44 is: 61,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,478 : 86,133.54 = 40,871.44 : x
  2. Step 2: Convert to fraction form
    57,478/86,133.54 = 40,871.44/x
  3. Step 3: Cross multiply
    57,478x = 86,133.54 × 40,871.44
  4. Step 4: Simplify right side
    57,478x = 3,520,401,812.10
  5. Step 5: Solve for x
    x = 3,520,401,812.10/57,478
  6. Step 6: Final answer
    x = 61,247.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.