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Finding the Fourth Proportional to 138,477.96, 191,099.72 and 74,815.81

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Solution

The fourth proportional to 138,477.96, 191,099.72 and 74,815.81 is: 103,245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,477.96 : 191,099.72 = 74,815.81 : x
  2. Step 2: Convert to fraction form
    138,477.96/191,099.72 = 74,815.81/x
  3. Step 3: Cross multiply
    138,477.96x = 191,099.72 × 74,815.81
  4. Step 4: Simplify right side
    138,477.96x = 14,297,279,864.82
  5. Step 5: Solve for x
    x = 14,297,279,864.82/138,477.96
  6. Step 6: Final answer
    x = 103,245.89

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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.