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Finding the Fourth Proportional to 221,680.70, 305,600.51 and 157,907.78

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Solution

The fourth proportional to 221,680.70, 305,600.51 and 157,907.78 is: 217,685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,680.70 : 305,600.51 = 157,907.78 : x
  2. Step 2: Convert to fraction form
    221,680.70/305,600.51 = 157,907.78/x
  3. Step 3: Cross multiply
    221,680.70x = 305,600.51 × 157,907.78
  4. Step 4: Simplify right side
    221,680.70x = 48,256,698,113.74
  5. Step 5: Solve for x
    x = 48,256,698,113.74/221,680.70
  6. Step 6: Final answer
    x = 217,685.61

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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.