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Finding the Fourth Proportional to 207,235.70, 311,007.15 and 137,091.70

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Solution

The fourth proportional to 207,235.70, 311,007.15 and 137,091.70 is: 205,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,235.70 : 311,007.15 = 137,091.70 : x
  2. Step 2: Convert to fraction form
    207,235.70/311,007.15 = 137,091.70/x
  3. Step 3: Cross multiply
    207,235.70x = 311,007.15 × 137,091.70
  4. Step 4: Simplify right side
    207,235.70x = 42,636,498,905.66
  5. Step 5: Solve for x
    x = 42,636,498,905.66/207,235.70
  6. Step 6: Final answer
    x = 205,739.16

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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.