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Finding the Fourth Proportional to 207,991.31, 311,962.86 and 58,243.59

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Solution

The fourth proportional to 207,991.31, 311,962.86 and 58,243.59 is: 87,358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,991.31 : 311,962.86 = 58,243.59 : x
  2. Step 2: Convert to fraction form
    207,991.31/311,962.86 = 58,243.59/x
  3. Step 3: Cross multiply
    207,991.31x = 311,962.86 × 58,243.59
  4. Step 4: Simplify right side
    207,991.31x = 18,169,836,913.07
  5. Step 5: Solve for x
    x = 18,169,836,913.07/207,991.31
  6. Step 6: Final answer
    x = 87,358.64

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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.