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Finding the Fourth Proportional to 207,249.93, 311,005.71 and 118,676.43

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Solution

The fourth proportional to 207,249.93, 311,005.71 and 118,676.43 is: 178,089.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,249.93 : 311,005.71 = 118,676.43 : x
  2. Step 2: Convert to fraction form
    207,249.93/311,005.71 = 118,676.43/x
  3. Step 3: Cross multiply
    207,249.93x = 311,005.71 × 118,676.43
  4. Step 4: Simplify right side
    207,249.93x = 36,909,047,372.42
  5. Step 5: Solve for x
    x = 36,909,047,372.42/207,249.93
  6. Step 6: Final answer
    x = 178,089.55

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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.