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Finding the Fourth Proportional to 207,694.19, 311,513.61 and 57,921.94

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Solution

The fourth proportional to 207,694.19, 311,513.61 and 57,921.94 is: 86,875.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,694.19 : 311,513.61 = 57,921.94 : x
  2. Step 2: Convert to fraction form
    207,694.19/311,513.61 = 57,921.94/x
  3. Step 3: Cross multiply
    207,694.19x = 311,513.61 × 57,921.94
  4. Step 4: Simplify right side
    207,694.19x = 18,043,472,627.60
  5. Step 5: Solve for x
    x = 18,043,472,627.60/207,694.19
  6. Step 6: Final answer
    x = 86,875.19

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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.