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Finding the Fourth Proportional to 138,764, 191,494.32 and 79,148

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Solution

The fourth proportional to 138,764, 191,494.32 and 79,148 is: 109,224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,764 : 191,494.32 = 79,148 : x
  2. Step 2: Convert to fraction form
    138,764/191,494.32 = 79,148/x
  3. Step 3: Cross multiply
    138,764x = 191,494.32 × 79,148
  4. Step 4: Simplify right side
    138,764x = 15,156,392,439.36
  5. Step 5: Solve for x
    x = 15,156,392,439.36/138,764
  6. Step 6: Final answer
    x = 109,224.24

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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.