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Finding the Fourth Proportional to 57,281.28, 85,894.12 and 19,843.48

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Solution

The fourth proportional to 57,281.28, 85,894.12 and 19,843.48 is: 29,755.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,281.28 : 85,894.12 = 19,843.48 : x
  2. Step 2: Convert to fraction form
    57,281.28/85,894.12 = 19,843.48/x
  3. Step 3: Cross multiply
    57,281.28x = 85,894.12 × 19,843.48
  4. Step 4: Simplify right side
    57,281.28x = 1,704,438,384.51
  5. Step 5: Solve for x
    x = 1,704,438,384.51/57,281.28
  6. Step 6: Final answer
    x = 29,755.59

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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.