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Finding the Fourth Proportional to 84,118.50, 126,177.75 and 21,789

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Solution

The fourth proportional to 84,118.50, 126,177.75 and 21,789 is: 32,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,118.50 : 126,177.75 = 21,789 : x
  2. Step 2: Convert to fraction form
    84,118.50/126,177.75 = 21,789/x
  3. Step 3: Cross multiply
    84,118.50x = 126,177.75 × 21,789
  4. Step 4: Simplify right side
    84,118.50x = 2,749,286,994.75
  5. Step 5: Solve for x
    x = 2,749,286,994.75/84,118.50
  6. Step 6: Final answer
    x = 32,683.50

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1.5x scale

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.