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Finding the Fourth Proportional to 72,647.16, 108,977.01 and 20,056.65

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Solution

The fourth proportional to 72,647.16, 108,977.01 and 20,056.65 is: 30,086.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,647.16 : 108,977.01 = 20,056.65 : x
  2. Step 2: Convert to fraction form
    72,647.16/108,977.01 = 20,056.65/x
  3. Step 3: Cross multiply
    72,647.16x = 108,977.01 × 20,056.65
  4. Step 4: Simplify right side
    72,647.16x = 2,185,713,747.62
  5. Step 5: Solve for x
    x = 2,185,713,747.62/72,647.16
  6. Step 6: Final answer
    x = 30,086.71

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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.