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Finding the Fourth Proportional to 57,384.90, 86,051.43 and 20,449.86

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Solution

The fourth proportional to 57,384.90, 86,051.43 and 20,449.86 is: 30,665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,384.90 : 86,051.43 = 20,449.86 : x
  2. Step 2: Convert to fraction form
    57,384.90/86,051.43 = 20,449.86/x
  3. Step 3: Cross multiply
    57,384.90x = 86,051.43 × 20,449.86
  4. Step 4: Simplify right side
    57,384.90x = 1,759,739,696.30
  5. Step 5: Solve for x
    x = 1,759,739,696.30/57,384.90
  6. Step 6: Final answer
    x = 30,665.55

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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.