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Finding the Fourth Proportional to 57,019.40, 85,468.62 and 21,943.88

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Solution

The fourth proportional to 57,019.40, 85,468.62 and 21,943.88 is: 32,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,019.40 : 85,468.62 = 21,943.88 : x
  2. Step 2: Convert to fraction form
    57,019.40/85,468.62 = 21,943.88/x
  3. Step 3: Cross multiply
    57,019.40x = 85,468.62 × 21,943.88
  4. Step 4: Simplify right side
    57,019.40x = 1,875,513,141.05
  5. Step 5: Solve for x
    x = 1,875,513,141.05/57,019.40
  6. Step 6: Final answer
    x = 32,892.54

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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.