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Finding the Fourth Proportional to 84,305.50, 126,465.54 and 21,976

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Solution

The fourth proportional to 84,305.50, 126,465.54 and 21,976 is: 32,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,305.50 : 126,465.54 = 21,976 : x
  2. Step 2: Convert to fraction form
    84,305.50/126,465.54 = 21,976/x
  3. Step 3: Cross multiply
    84,305.50x = 126,465.54 × 21,976
  4. Step 4: Simplify right side
    84,305.50x = 2,779,206,707.04
  5. Step 5: Solve for x
    x = 2,779,206,707.04/84,305.50
  6. Step 6: Final answer
    x = 32,965.90

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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.