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Finding the Fourth Proportional to 222,630.30, 307,247.31 and 137,774.70

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Solution

The fourth proportional to 222,630.30, 307,247.31 and 137,774.70 is: 190,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,630.30 : 307,247.31 = 137,774.70 : x
  2. Step 2: Convert to fraction form
    222,630.30/307,247.31 = 137,774.70/x
  3. Step 3: Cross multiply
    222,630.30x = 307,247.31 × 137,774.70
  4. Step 4: Simplify right side
    222,630.30x = 42,330,905,961.06
  5. Step 5: Solve for x
    x = 42,330,905,961.06/222,630.30
  6. Step 6: Final answer
    x = 190,139.91

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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.