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Finding the Fourth Proportional to 138,477.67, 191,099.32 and 74,815.61

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Solution

The fourth proportional to 138,477.67, 191,099.32 and 74,815.61 is: 103,245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,477.67 : 191,099.32 = 74,815.61 : x
  2. Step 2: Convert to fraction form
    138,477.67/191,099.32 = 74,815.61/x
  3. Step 3: Cross multiply
    138,477.67x = 191,099.32 × 74,815.61
  4. Step 4: Simplify right side
    138,477.67x = 14,297,211,053.85
  5. Step 5: Solve for x
    x = 14,297,211,053.85/138,477.67
  6. Step 6: Final answer
    x = 103,245.61

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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.