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Finding the Fourth Proportional to 54,250.94, 81,388.84 and 20,971.28

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Solution

The fourth proportional to 54,250.94, 81,388.84 and 20,971.28 is: 31,461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,250.94 : 81,388.84 = 20,971.28 : x
  2. Step 2: Convert to fraction form
    54,250.94/81,388.84 = 20,971.28/x
  3. Step 3: Cross multiply
    54,250.94x = 81,388.84 × 20,971.28
  4. Step 4: Simplify right side
    54,250.94x = 1,706,828,152.52
  5. Step 5: Solve for x
    x = 1,706,828,152.52/54,250.94
  6. Step 6: Final answer
    x = 31,461.72

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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.