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Finding the Fourth Proportional to 57,830.40, 86,918.40 and 50,227.20

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Solution

The fourth proportional to 57,830.40, 86,918.40 and 50,227.20 is: 75,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,830.40 : 86,918.40 = 50,227.20 : x
  2. Step 2: Convert to fraction form
    57,830.40/86,918.40 = 50,227.20/x
  3. Step 3: Cross multiply
    57,830.40x = 86,918.40 × 50,227.20
  4. Step 4: Simplify right side
    57,830.40x = 4,365,667,860.48
  5. Step 5: Solve for x
    x = 4,365,667,860.48/57,830.40
  6. Step 6: Final answer
    x = 75,490.88

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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.