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Finding the Fourth Proportional to 54,254.31, 81,380.63 and 14,811.31

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Solution

The fourth proportional to 54,254.31, 81,380.63 and 14,811.31 is: 22,216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,254.31 : 81,380.63 = 14,811.31 : x
  2. Step 2: Convert to fraction form
    54,254.31/81,380.63 = 14,811.31/x
  3. Step 3: Cross multiply
    54,254.31x = 81,380.63 × 14,811.31
  4. Step 4: Simplify right side
    54,254.31x = 1,205,353,738.93
  5. Step 5: Solve for x
    x = 1,205,353,738.93/54,254.31
  6. Step 6: Final answer
    x = 22,216.74

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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.