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Finding the Fourth Proportional to 138,466.44, 191,083.59 and 78,051.78

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Solution

The fourth proportional to 138,466.44, 191,083.59 and 78,051.78 is: 107,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,466.44 : 191,083.59 = 78,051.78 : x
  2. Step 2: Convert to fraction form
    138,466.44/191,083.59 = 78,051.78/x
  3. Step 3: Cross multiply
    138,466.44x = 191,083.59 × 78,051.78
  4. Step 4: Simplify right side
    138,466.44x = 14,914,414,328.29
  5. Step 5: Solve for x
    x = 14,914,414,328.29/138,466.44
  6. Step 6: Final answer
    x = 107,711.40

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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.