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Finding the Fourth Proportional to 52,490.73, 78,713 and 19,202.16

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Solution

The fourth proportional to 52,490.73, 78,713 and 19,202.16 is: 28,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,490.73 : 78,713 = 19,202.16 : x
  2. Step 2: Convert to fraction form
    52,490.73/78,713 = 19,202.16/x
  3. Step 3: Cross multiply
    52,490.73x = 78,713 × 19,202.16
  4. Step 4: Simplify right side
    52,490.73x = 1,511,459,226.52
  5. Step 5: Solve for x
    x = 1,511,459,226.52/52,490.73
  6. Step 6: Final answer
    x = 28,794.79

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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.