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Finding the Fourth Proportional to 121,683.24, 167,917.86 and 67,968

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Solution

The fourth proportional to 121,683.24, 167,917.86 and 67,968 is: 93,793.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,683.24 : 167,917.86 = 67,968 : x
  2. Step 2: Convert to fraction form
    121,683.24/167,917.86 = 67,968/x
  3. Step 3: Cross multiply
    121,683.24x = 167,917.86 × 67,968
  4. Step 4: Simplify right side
    121,683.24x = 11,413,041,108.48
  5. Step 5: Solve for x
    x = 11,413,041,108.48/121,683.24
  6. Step 6: Final answer
    x = 93,793.04

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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.