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Finding the Fourth Proportional to 207,794.31, 286,757.46 and 112,300.78

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Solution

The fourth proportional to 207,794.31, 286,757.46 and 112,300.78 is: 154,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,794.31 : 286,757.46 = 112,300.78 : x
  2. Step 2: Convert to fraction form
    207,794.31/286,757.46 = 112,300.78/x
  3. Step 3: Cross multiply
    207,794.31x = 286,757.46 × 112,300.78
  4. Step 4: Simplify right side
    207,794.31x = 32,203,086,428.82
  5. Step 5: Solve for x
    x = 32,203,086,428.82/207,794.31
  6. Step 6: Final answer
    x = 154,975.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.