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Finding the Fourth Proportional to 57,099.84, 78,778.68 and 33,221.40

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Solution

The fourth proportional to 57,099.84, 78,778.68 and 33,221.40 is: 45,834.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,099.84 : 78,778.68 = 33,221.40 : x
  2. Step 2: Convert to fraction form
    57,099.84/78,778.68 = 33,221.40/x
  3. Step 3: Cross multiply
    57,099.84x = 78,778.68 × 33,221.40
  4. Step 4: Simplify right side
    57,099.84x = 2,617,138,039.75
  5. Step 5: Solve for x
    x = 2,617,138,039.75/57,099.84
  6. Step 6: Final answer
    x = 45,834.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.