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Finding the Fourth Proportional to 54,396, 81,590.22 and 18,856.31

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Solution

The fourth proportional to 54,396, 81,590.22 and 18,856.31 is: 28,283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,396 : 81,590.22 = 18,856.31 : x
  2. Step 2: Convert to fraction form
    54,396/81,590.22 = 18,856.31/x
  3. Step 3: Cross multiply
    54,396x = 81,590.22 × 18,856.31
  4. Step 4: Simplify right side
    54,396x = 1,538,490,073.34
  5. Step 5: Solve for x
    x = 1,538,490,073.34/54,396
  6. Step 6: Final answer
    x = 28,283.15

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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.