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Finding the Fourth Proportional to 54,148.61, 81,236.75 and 20,859.75

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Solution

The fourth proportional to 54,148.61, 81,236.75 and 20,859.75 is: 31,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,148.61 : 81,236.75 = 20,859.75 : x
  2. Step 2: Convert to fraction form
    54,148.61/81,236.75 = 20,859.75/x
  3. Step 3: Cross multiply
    54,148.61x = 81,236.75 × 20,859.75
  4. Step 4: Simplify right side
    54,148.61x = 1,694,578,191.51
  5. Step 5: Solve for x
    x = 1,694,578,191.51/54,148.61
  6. Step 6: Final answer
    x = 31,294.96

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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.