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Finding the Fourth Proportional to 78,192.74, 107,906.37 and 75,367.46

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Solution

The fourth proportional to 78,192.74, 107,906.37 and 75,367.46 is: 104,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,192.74 : 107,906.37 = 75,367.46 : x
  2. Step 2: Convert to fraction form
    78,192.74/107,906.37 = 75,367.46/x
  3. Step 3: Cross multiply
    78,192.74x = 107,906.37 × 75,367.46
  4. Step 4: Simplify right side
    78,192.74x = 8,132,629,024.72
  5. Step 5: Solve for x
    x = 8,132,629,024.72/78,192.74
  6. Step 6: Final answer
    x = 104,007.47

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1.5x scale

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.