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Finding the Fourth Proportional to 38,499.60, 57,700.80 and 28,099.20

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Solution

The fourth proportional to 38,499.60, 57,700.80 and 28,099.20 is: 42,113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,499.60 : 57,700.80 = 28,099.20 : x
  2. Step 2: Convert to fraction form
    38,499.60/57,700.80 = 28,099.20/x
  3. Step 3: Cross multiply
    38,499.60x = 57,700.80 × 28,099.20
  4. Step 4: Simplify right side
    38,499.60x = 1,621,346,319.36
  5. Step 5: Solve for x
    x = 1,621,346,319.36/38,499.60
  6. Step 6: Final answer
    x = 42,113.33

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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.