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Finding the Fourth Proportional to 221,598.78, 305,809.20 and 126,107.88

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Solution

The fourth proportional to 221,598.78, 305,809.20 and 126,107.88 is: 174,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,598.78 : 305,809.20 = 126,107.88 : x
  2. Step 2: Convert to fraction form
    221,598.78/305,809.20 = 126,107.88/x
  3. Step 3: Cross multiply
    221,598.78x = 305,809.20 × 126,107.88
  4. Step 4: Simplify right side
    221,598.78x = 38,564,949,896.50
  5. Step 5: Solve for x
    x = 38,564,949,896.50/221,598.78
  6. Step 6: Final answer
    x = 174,030.52

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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.