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Finding the Fourth Proportional to 221,720.54, 305,973.87 and 121,118.54

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Solution

The fourth proportional to 221,720.54, 305,973.87 and 121,118.54 is: 167,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,720.54 : 305,973.87 = 121,118.54 : x
  2. Step 2: Convert to fraction form
    221,720.54/305,973.87 = 121,118.54/x
  3. Step 3: Cross multiply
    221,720.54x = 305,973.87 × 121,118.54
  4. Step 4: Simplify right side
    221,720.54x = 37,059,108,412.55
  5. Step 5: Solve for x
    x = 37,059,108,412.55/221,720.54
  6. Step 6: Final answer
    x = 167,143.33

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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.