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Finding the Fourth Proportional to 222,708.96, 307,164.96 and 137,872.80

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Solution

The fourth proportional to 222,708.96, 307,164.96 and 137,872.80 is: 190,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,708.96 : 307,164.96 = 137,872.80 : x
  2. Step 2: Convert to fraction form
    222,708.96/307,164.96 = 137,872.80/x
  3. Step 3: Cross multiply
    222,708.96x = 307,164.96 × 137,872.80
  4. Step 4: Simplify right side
    222,708.96x = 42,349,693,097.09
  5. Step 5: Solve for x
    x = 42,349,693,097.09/222,708.96
  6. Step 6: Final answer
    x = 190,157.11

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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.