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Finding the Fourth Proportional to 207,856.60, 311,876.70 and 101,181.40

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Solution

The fourth proportional to 207,856.60, 311,876.70 and 101,181.40 is: 151,816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,856.60 : 311,876.70 = 101,181.40 : x
  2. Step 2: Convert to fraction form
    207,856.60/311,876.70 = 101,181.40/x
  3. Step 3: Cross multiply
    207,856.60x = 311,876.70 × 101,181.40
  4. Step 4: Simplify right side
    207,856.60x = 31,556,121,133.38
  5. Step 5: Solve for x
    x = 31,556,121,133.38/207,856.60
  6. Step 6: Final answer
    x = 151,816.79

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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.