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Finding the Fourth Proportional to 84,294.36, 126,441.54 and 21,960

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Solution

The fourth proportional to 84,294.36, 126,441.54 and 21,960 is: 32,940

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,294.36 : 126,441.54 = 21,960 : x
  2. Step 2: Convert to fraction form
    84,294.36/126,441.54 = 21,960/x
  3. Step 3: Cross multiply
    84,294.36x = 126,441.54 × 21,960
  4. Step 4: Simplify right side
    84,294.36x = 2,776,656,218.40
  5. Step 5: Solve for x
    x = 2,776,656,218.40/84,294.36
  6. Step 6: Final answer
    x = 32,940

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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.