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Finding the Fourth Proportional to 221,700, 305,953.56 and 121,104.48

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Solution

The fourth proportional to 221,700, 305,953.56 and 121,104.48 is: 167,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,700 : 305,953.56 = 121,104.48 : x
  2. Step 2: Convert to fraction form
    221,700/305,953.56 = 121,104.48/x
  3. Step 3: Cross multiply
    221,700x = 305,953.56 × 121,104.48
  4. Step 4: Simplify right side
    221,700x = 37,052,346,787.95
  5. Step 5: Solve for x
    x = 37,052,346,787.95/221,700
  6. Step 6: Final answer
    x = 167,128.31

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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.