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Finding the Fourth Proportional to 78,222.45, 117,053.37 and 67,728.66

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Solution

The fourth proportional to 78,222.45, 117,053.37 and 67,728.66 is: 101,350.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,222.45 : 117,053.37 = 67,728.66 : x
  2. Step 2: Convert to fraction form
    78,222.45/117,053.37 = 67,728.66/x
  3. Step 3: Cross multiply
    78,222.45x = 117,053.37 × 67,728.66
  4. Step 4: Simplify right side
    78,222.45x = 7,927,867,898.58
  5. Step 5: Solve for x
    x = 7,927,867,898.58/78,222.45
  6. Step 6: Final answer
    x = 101,350.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.