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Finding the Fourth Proportional to 222,359.08, 306,909.54 and 137,425

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Solution

The fourth proportional to 222,359.08, 306,909.54 and 137,425 is: 189,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,359.08 : 306,909.54 = 137,425 : x
  2. Step 2: Convert to fraction form
    222,359.08/306,909.54 = 137,425/x
  3. Step 3: Cross multiply
    222,359.08x = 306,909.54 × 137,425
  4. Step 4: Simplify right side
    222,359.08x = 42,177,043,534.50
  5. Step 5: Solve for x
    x = 42,177,043,534.50/222,359.08
  6. Step 6: Final answer
    x = 189,679.88

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1.5x scale

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.