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Finding the Fourth Proportional to 138,855.60, 191,618.46 and 75,192.84

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Solution

The fourth proportional to 138,855.60, 191,618.46 and 75,192.84 is: 103,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,855.60 : 191,618.46 = 75,192.84 : x
  2. Step 2: Convert to fraction form
    138,855.60/191,618.46 = 75,192.84/x
  3. Step 3: Cross multiply
    138,855.60x = 191,618.46 × 75,192.84
  4. Step 4: Simplify right side
    138,855.60x = 14,408,336,203.83
  5. Step 5: Solve for x
    x = 14,408,336,203.83/138,855.60
  6. Step 6: Final answer
    x = 103,764.89

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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.