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Finding the Fourth Proportional to 207,798.20, 310,919.70 and 137,814.20

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Solution

The fourth proportional to 207,798.20, 310,919.70 and 137,814.20 is: 206,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,798.20 : 310,919.70 = 137,814.20 : x
  2. Step 2: Convert to fraction form
    207,798.20/310,919.70 = 137,814.20/x
  3. Step 3: Cross multiply
    207,798.20x = 310,919.70 × 137,814.20
  4. Step 4: Simplify right side
    207,798.20x = 42,849,149,719.74
  5. Step 5: Solve for x
    x = 42,849,149,719.74/207,798.20
  6. Step 6: Final answer
    x = 206,205.59

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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.