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Finding the Fourth Proportional to 207,356.31, 311,009.76 and 72,396.90

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Solution

The fourth proportional to 207,356.31, 311,009.76 and 72,396.90 is: 108,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,356.31 : 311,009.76 = 72,396.90 : x
  2. Step 2: Convert to fraction form
    207,356.31/311,009.76 = 72,396.90/x
  3. Step 3: Cross multiply
    207,356.31x = 311,009.76 × 72,396.90
  4. Step 4: Simplify right side
    207,356.31x = 22,516,142,493.74
  5. Step 5: Solve for x
    x = 22,516,142,493.74/207,356.31
  6. Step 6: Final answer
    x = 108,586.72

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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.