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Finding the Fourth Proportional to 57,857.01, 86,795.79 and 20,438.79

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Solution

The fourth proportional to 57,857.01, 86,795.79 and 20,438.79 is: 30,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,857.01 : 86,795.79 = 20,438.79 : x
  2. Step 2: Convert to fraction form
    57,857.01/86,795.79 = 20,438.79/x
  3. Step 3: Cross multiply
    57,857.01x = 86,795.79 × 20,438.79
  4. Step 4: Simplify right side
    57,857.01x = 1,774,000,924.69
  5. Step 5: Solve for x
    x = 1,774,000,924.69/57,857.01
  6. Step 6: Final answer
    x = 30,661.81

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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.