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Finding the Fourth Proportional to 81,972, 122,955.84 and 22,805.28

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Solution

The fourth proportional to 81,972, 122,955.84 and 22,805.28 is: 34,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,972 : 122,955.84 = 22,805.28 : x
  2. Step 2: Convert to fraction form
    81,972/122,955.84 = 22,805.28/x
  3. Step 3: Cross multiply
    81,972x = 122,955.84 × 22,805.28
  4. Step 4: Simplify right side
    81,972x = 2,804,042,358.84
  5. Step 5: Solve for x
    x = 2,804,042,358.84/81,972
  6. Step 6: Final answer
    x = 34,207.32

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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.