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Finding the Fourth Proportional to 137,364.20, 205,815.90 and 67,092.20

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Solution

The fourth proportional to 137,364.20, 205,815.90 and 67,092.20 is: 100,525.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,364.20 : 205,815.90 = 67,092.20 : x
  2. Step 2: Convert to fraction form
    137,364.20/205,815.90 = 67,092.20/x
  3. Step 3: Cross multiply
    137,364.20x = 205,815.90 × 67,092.20
  4. Step 4: Simplify right side
    137,364.20x = 13,808,641,525.98
  5. Step 5: Solve for x
    x = 13,808,641,525.98/137,364.20
  6. Step 6: Final answer
    x = 100,525.77

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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.