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Finding the Fourth Proportional to 138,689, 208,068.06 and 40,193

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Solution

The fourth proportional to 138,689, 208,068.06 and 40,193 is: 60,299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,689 : 208,068.06 = 40,193 : x
  2. Step 2: Convert to fraction form
    138,689/208,068.06 = 40,193/x
  3. Step 3: Cross multiply
    138,689x = 208,068.06 × 40,193
  4. Step 4: Simplify right side
    138,689x = 8,362,879,535.58
  5. Step 5: Solve for x
    x = 8,362,879,535.58/138,689
  6. Step 6: Final answer
    x = 60,299.52

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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.