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Finding the Fourth Proportional to 67,187.16, 100,795.31 and 20,438.82

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Solution

The fourth proportional to 67,187.16, 100,795.31 and 20,438.82 is: 30,662.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,187.16 : 100,795.31 = 20,438.82 : x
  2. Step 2: Convert to fraction form
    67,187.16/100,795.31 = 20,438.82/x
  3. Step 3: Cross multiply
    67,187.16x = 100,795.31 × 20,438.82
  4. Step 4: Simplify right side
    67,187.16x = 2,060,137,095.74
  5. Step 5: Solve for x
    x = 2,060,137,095.74/67,187.16
  6. Step 6: Final answer
    x = 30,662.66

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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.