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Finding the Fourth Proportional to 138,940.22, 191,734.99 and 78,509.56

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Solution

The fourth proportional to 138,940.22, 191,734.99 and 78,509.56 is: 108,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,940.22 : 191,734.99 = 78,509.56 : x
  2. Step 2: Convert to fraction form
    138,940.22/191,734.99 = 78,509.56/x
  3. Step 3: Cross multiply
    138,940.22x = 191,734.99 × 78,509.56
  4. Step 4: Simplify right side
    138,940.22x = 15,053,029,701.50
  5. Step 5: Solve for x
    x = 15,053,029,701.50/138,940.22
  6. Step 6: Final answer
    x = 108,341.77

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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.