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Finding the Fourth Proportional to 222,358.08, 306,908.16 and 137,424

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Solution

The fourth proportional to 222,358.08, 306,908.16 and 137,424 is: 189,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,358.08 : 306,908.16 = 137,424 : x
  2. Step 2: Convert to fraction form
    222,358.08/306,908.16 = 137,424/x
  3. Step 3: Cross multiply
    222,358.08x = 306,908.16 × 137,424
  4. Step 4: Simplify right side
    222,358.08x = 42,176,546,979.84
  5. Step 5: Solve for x
    x = 42,176,546,979.84/222,358.08
  6. Step 6: Final answer
    x = 189,678.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.