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Finding the Fourth Proportional to 57,584.61, 86,389.21 and 20,145.90

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Solution

The fourth proportional to 57,584.61, 86,389.21 and 20,145.90 is: 30,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,584.61 : 86,389.21 = 20,145.90 : x
  2. Step 2: Convert to fraction form
    57,584.61/86,389.21 = 20,145.90/x
  3. Step 3: Cross multiply
    57,584.61x = 86,389.21 × 20,145.90
  4. Step 4: Simplify right side
    57,584.61x = 1,740,388,385.74
  5. Step 5: Solve for x
    x = 1,740,388,385.74/57,584.61
  6. Step 6: Final answer
    x = 30,223.15

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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.