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Finding the Fourth Proportional to 207,234.70, 311,005.65 and 137,090.70

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Solution

The fourth proportional to 207,234.70, 311,005.65 and 137,090.70 is: 205,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,234.70 : 311,005.65 = 137,090.70 : x
  2. Step 2: Convert to fraction form
    207,234.70/311,005.65 = 137,090.70/x
  3. Step 3: Cross multiply
    207,234.70x = 311,005.65 × 137,090.70
  4. Step 4: Simplify right side
    207,234.70x = 42,635,982,262.46
  5. Step 5: Solve for x
    x = 42,635,982,262.46/207,234.70
  6. Step 6: Final answer
    x = 205,737.66

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1.5x scale

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.