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Finding the Fourth Proportional to 83,533.80, 125,300.70 and 71,092.20

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Solution

The fourth proportional to 83,533.80, 125,300.70 and 71,092.20 is: 106,638.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,533.80 : 125,300.70 = 71,092.20 : x
  2. Step 2: Convert to fraction form
    83,533.80/125,300.70 = 71,092.20/x
  3. Step 3: Cross multiply
    83,533.80x = 125,300.70 × 71,092.20
  4. Step 4: Simplify right side
    83,533.80x = 8,907,902,424.54
  5. Step 5: Solve for x
    x = 8,907,902,424.54/83,533.80
  6. Step 6: Final answer
    x = 106,638.30

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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.