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Finding the Fourth Proportional to 222,978.56, 307,700.57 and 127,491.50

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Solution

The fourth proportional to 222,978.56, 307,700.57 and 127,491.50 is: 175,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,978.56 : 307,700.57 = 127,491.50 : x
  2. Step 2: Convert to fraction form
    222,978.56/307,700.57 = 127,491.50/x
  3. Step 3: Cross multiply
    222,978.56x = 307,700.57 × 127,491.50
  4. Step 4: Simplify right side
    222,978.56x = 39,229,208,308.14
  5. Step 5: Solve for x
    x = 39,229,208,308.14/222,978.56
  6. Step 6: Final answer
    x = 175,932.65

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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.