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Finding the Fourth Proportional to 84,138.77, 126,111.26 and 34,164

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Solution

The fourth proportional to 84,138.77, 126,111.26 and 34,164 is: 51,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,138.77 : 126,111.26 = 34,164 : x
  2. Step 2: Convert to fraction form
    84,138.77/126,111.26 = 34,164/x
  3. Step 3: Cross multiply
    84,138.77x = 126,111.26 × 34,164
  4. Step 4: Simplify right side
    84,138.77x = 4,308,465,172.05
  5. Step 5: Solve for x
    x = 4,308,465,172.05/84,138.77
  6. Step 6: Final answer
    x = 51,206.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.