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Finding the Fourth Proportional to 137,193, 205,602.45 and 83,903.50

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Solution

The fourth proportional to 137,193, 205,602.45 and 83,903.50 is: 125,740.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,193 : 205,602.45 = 83,903.50 : x
  2. Step 2: Convert to fraction form
    137,193/205,602.45 = 83,903.50/x
  3. Step 3: Cross multiply
    137,193x = 205,602.45 × 83,903.50
  4. Step 4: Simplify right side
    137,193x = 17,250,765,163.58
  5. Step 5: Solve for x
    x = 17,250,765,163.58/137,193
  6. Step 6: Final answer
    x = 125,740.86

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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.