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Finding the Fourth Proportional to 207,858.15, 311,007.20 and 123,308.73

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Solution

The fourth proportional to 207,858.15, 311,007.20 and 123,308.73 is: 184,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,858.15 : 311,007.20 = 123,308.73 : x
  2. Step 2: Convert to fraction form
    207,858.15/311,007.20 = 123,308.73/x
  3. Step 3: Cross multiply
    207,858.15x = 311,007.20 × 123,308.73
  4. Step 4: Simplify right side
    207,858.15x = 38,349,902,236.31
  5. Step 5: Solve for x
    x = 38,349,902,236.31/207,858.15
  6. Step 6: Final answer
    x = 184,500.35

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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.