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Finding the Fourth Proportional to 221,720.96, 305,963.52 and 121,099.52

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Solution

The fourth proportional to 221,720.96, 305,963.52 and 121,099.52 is: 167,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,720.96 : 305,963.52 = 121,099.52 : x
  2. Step 2: Convert to fraction form
    221,720.96/305,963.52 = 121,099.52/x
  3. Step 3: Cross multiply
    221,720.96x = 305,963.52 × 121,099.52
  4. Step 4: Simplify right side
    221,720.96x = 37,052,035,409.51
  5. Step 5: Solve for x
    x = 37,052,035,409.51/221,720.96
  6. Step 6: Final answer
    x = 167,111.11

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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.