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Finding the Fourth Proportional to 207,792.70, 310,911.45 and 137,808.70

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Solution

The fourth proportional to 207,792.70, 310,911.45 and 137,808.70 is: 206,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,792.70 : 310,911.45 = 137,808.70 : x
  2. Step 2: Convert to fraction form
    207,792.70/310,911.45 = 137,808.70/x
  3. Step 3: Cross multiply
    207,792.70x = 310,911.45 × 137,808.70
  4. Step 4: Simplify right side
    207,792.70x = 42,846,302,739.62
  5. Step 5: Solve for x
    x = 42,846,302,739.62/207,792.70
  6. Step 6: Final answer
    x = 206,197.34

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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.