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Finding the Fourth Proportional to 207,148.20, 309,944.70 and 137,164.20

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Solution

The fourth proportional to 207,148.20, 309,944.70 and 137,164.20 is: 205,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,148.20 : 309,944.70 = 137,164.20 : x
  2. Step 2: Convert to fraction form
    207,148.20/309,944.70 = 137,164.20/x
  3. Step 3: Cross multiply
    207,148.20x = 309,944.70 × 137,164.20
  4. Step 4: Simplify right side
    207,148.20x = 42,513,316,819.74
  5. Step 5: Solve for x
    x = 42,513,316,819.74/207,148.20
  6. Step 6: Final answer
    x = 205,231.41

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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.