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Finding the Fourth Proportional to 207,879.60, 311,819.40 and 74,764.20

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Solution

The fourth proportional to 207,879.60, 311,819.40 and 74,764.20 is: 112,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,879.60 : 311,819.40 = 74,764.20 : x
  2. Step 2: Convert to fraction form
    207,879.60/311,819.40 = 74,764.20/x
  3. Step 3: Cross multiply
    207,879.60x = 311,819.40 × 74,764.20
  4. Step 4: Simplify right side
    207,879.60x = 23,312,927,985.48
  5. Step 5: Solve for x
    x = 23,312,927,985.48/207,879.60
  6. Step 6: Final answer
    x = 112,146.30

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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.