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Finding the Fourth Proportional to 222,642.20, 307,304.34 and 137,709.92

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Solution

The fourth proportional to 222,642.20, 307,304.34 and 137,709.92 is: 190,075.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,642.20 : 307,304.34 = 137,709.92 : x
  2. Step 2: Convert to fraction form
    222,642.20/307,304.34 = 137,709.92/x
  3. Step 3: Cross multiply
    222,642.20x = 307,304.34 × 137,709.92
  4. Step 4: Simplify right side
    222,642.20x = 42,318,856,077.05
  5. Step 5: Solve for x
    x = 42,318,856,077.05/222,642.20
  6. Step 6: Final answer
    x = 190,075.63

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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.