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Finding the Fourth Proportional to 207,871.34, 311,666.90 and 167,939.45

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Solution

The fourth proportional to 207,871.34, 311,666.90 and 167,939.45 is: 251,795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,871.34 : 311,666.90 = 167,939.45 : x
  2. Step 2: Convert to fraction form
    207,871.34/311,666.90 = 167,939.45/x
  3. Step 3: Cross multiply
    207,871.34x = 311,666.90 × 167,939.45
  4. Step 4: Simplify right side
    207,871.34x = 52,341,167,769.21
  5. Step 5: Solve for x
    x = 52,341,167,769.21/207,871.34
  6. Step 6: Final answer
    x = 251,795.98

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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.