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Finding the Fourth Proportional to 221,698.50, 305,951.49 and 121,102.98

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Solution

The fourth proportional to 221,698.50, 305,951.49 and 121,102.98 is: 167,126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,698.50 : 305,951.49 = 121,102.98 : x
  2. Step 2: Convert to fraction form
    221,698.50/305,951.49 = 121,102.98/x
  3. Step 3: Cross multiply
    221,698.50x = 305,951.49 × 121,102.98
  4. Step 4: Simplify right side
    221,698.50x = 37,051,637,174.44
  5. Step 5: Solve for x
    x = 37,051,637,174.44/221,698.50
  6. Step 6: Final answer
    x = 167,126.24

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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.