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Finding the Fourth Proportional to 222,992, 307,767.84 and 127,502.72

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Solution

The fourth proportional to 222,992, 307,767.84 and 127,502.72 is: 175,975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,992 : 307,767.84 = 127,502.72 : x
  2. Step 2: Convert to fraction form
    222,992/307,767.84 = 127,502.72/x
  3. Step 3: Cross multiply
    222,992x = 307,767.84 × 127,502.72
  4. Step 4: Simplify right side
    222,992x = 39,241,236,728.52
  5. Step 5: Solve for x
    x = 39,241,236,728.52/222,992
  6. Step 6: Final answer
    x = 175,975.98

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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.