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Finding the Fourth Proportional to 126,043.40, 188,834.70 and 102,542.60

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Solution

The fourth proportional to 126,043.40, 188,834.70 and 102,542.60 is: 153,626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,043.40 : 188,834.70 = 102,542.60 : x
  2. Step 2: Convert to fraction form
    126,043.40/188,834.70 = 102,542.60/x
  3. Step 3: Cross multiply
    126,043.40x = 188,834.70 × 102,542.60
  4. Step 4: Simplify right side
    126,043.40x = 19,363,601,108.22
  5. Step 5: Solve for x
    x = 19,363,601,108.22/126,043.40
  6. Step 6: Final answer
    x = 153,626.46

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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.