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Finding the Fourth Proportional to 138,578.53, 191,235.72 and 78,148.09

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Solution

The fourth proportional to 138,578.53, 191,235.72 and 78,148.09 is: 107,842.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,578.53 : 191,235.72 = 78,148.09 : x
  2. Step 2: Convert to fraction form
    138,578.53/191,235.72 = 78,148.09/x
  3. Step 3: Cross multiply
    138,578.53x = 191,235.72 × 78,148.09
  4. Step 4: Simplify right side
    138,578.53x = 14,944,706,257.77
  5. Step 5: Solve for x
    x = 14,944,706,257.77/138,578.53
  6. Step 6: Final answer
    x = 107,842.87

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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.