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Finding the Fourth Proportional to 57,099.20, 78,814.80 and 39,219.20

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Solution

The fourth proportional to 57,099.20, 78,814.80 and 39,219.20 is: 54,134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,099.20 : 78,814.80 = 39,219.20 : x
  2. Step 2: Convert to fraction form
    57,099.20/78,814.80 = 39,219.20/x
  3. Step 3: Cross multiply
    57,099.20x = 78,814.80 × 39,219.20
  4. Step 4: Simplify right side
    57,099.20x = 3,091,053,404.16
  5. Step 5: Solve for x
    x = 3,091,053,404.16/57,099.20
  6. Step 6: Final answer
    x = 54,134.79

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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.