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Finding the Fourth Proportional to 57,574.81, 86,384.36 and 20,138.77

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Solution

The fourth proportional to 57,574.81, 86,384.36 and 20,138.77 is: 30,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,574.81 : 86,384.36 = 20,138.77 : x
  2. Step 2: Convert to fraction form
    57,574.81/86,384.36 = 20,138.77/x
  3. Step 3: Cross multiply
    57,574.81x = 86,384.36 × 20,138.77
  4. Step 4: Simplify right side
    57,574.81x = 1,739,674,757.64
  5. Step 5: Solve for x
    x = 1,739,674,757.64/57,574.81
  6. Step 6: Final answer
    x = 30,215.90

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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.