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Finding the Fourth Proportional to 221,698, 305,950.80 and 121,102.48

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Solution

The fourth proportional to 221,698, 305,950.80 and 121,102.48 is: 167,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,698 : 305,950.80 = 121,102.48 : x
  2. Step 2: Convert to fraction form
    221,698/305,950.80 = 121,102.48/x
  3. Step 3: Cross multiply
    221,698x = 305,950.80 × 121,102.48
  4. Step 4: Simplify right side
    221,698x = 37,051,400,637.98
  5. Step 5: Solve for x
    x = 37,051,400,637.98/221,698
  6. Step 6: Final answer
    x = 167,125.55

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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.