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Finding the Fourth Proportional to 138,657.54, 191,330.94 and 78,224.64

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Solution

The fourth proportional to 138,657.54, 191,330.94 and 78,224.64 is: 107,940.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,657.54 : 191,330.94 = 78,224.64 : x
  2. Step 2: Convert to fraction form
    138,657.54/191,330.94 = 78,224.64/x
  3. Step 3: Cross multiply
    138,657.54x = 191,330.94 × 78,224.64
  4. Step 4: Simplify right side
    138,657.54x = 14,966,793,902.36
  5. Step 5: Solve for x
    x = 14,966,793,902.36/138,657.54
  6. Step 6: Final answer
    x = 107,940.71

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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.