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Finding the Fourth Proportional to 207,989.84, 312,023.66 and 83,340.56

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Solution

The fourth proportional to 207,989.84, 312,023.66 and 83,340.56 is: 125,026.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,989.84 : 312,023.66 = 83,340.56 : x
  2. Step 2: Convert to fraction form
    207,989.84/312,023.66 = 83,340.56/x
  3. Step 3: Cross multiply
    207,989.84x = 312,023.66 × 83,340.56
  4. Step 4: Simplify right side
    207,989.84x = 26,004,226,557.65
  5. Step 5: Solve for x
    x = 26,004,226,557.65/207,989.84
  6. Step 6: Final answer
    x = 125,026.43

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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.