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Finding the Fourth Proportional to 138,780, 191,542.32 and 79,164

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Solution

The fourth proportional to 138,780, 191,542.32 and 79,164 is: 109,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,780 : 191,542.32 = 79,164 : x
  2. Step 2: Convert to fraction form
    138,780/191,542.32 = 79,164/x
  3. Step 3: Cross multiply
    138,780x = 191,542.32 × 79,164
  4. Step 4: Simplify right side
    138,780x = 15,163,256,220.48
  5. Step 5: Solve for x
    x = 15,163,256,220.48/138,780
  6. Step 6: Final answer
    x = 109,261.11

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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.