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Finding the Fourth Proportional to 57,294.30, 85,920.87 and 19,844.28

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Solution

The fourth proportional to 57,294.30, 85,920.87 and 19,844.28 is: 29,759.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,294.30 : 85,920.87 = 19,844.28 : x
  2. Step 2: Convert to fraction form
    57,294.30/85,920.87 = 19,844.28/x
  3. Step 3: Cross multiply
    57,294.30x = 85,920.87 × 19,844.28
  4. Step 4: Simplify right side
    57,294.30x = 1,705,037,802.12
  5. Step 5: Solve for x
    x = 1,705,037,802.12/57,294.30
  6. Step 6: Final answer
    x = 29,759.29

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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.