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Finding the Fourth Proportional to 72,653.90, 108,982.22 and 20,064.78

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Solution

The fourth proportional to 72,653.90, 108,982.22 and 20,064.78 is: 30,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,653.90 : 108,982.22 = 20,064.78 : x
  2. Step 2: Convert to fraction form
    72,653.90/108,982.22 = 20,064.78/x
  3. Step 3: Cross multiply
    72,653.90x = 108,982.22 × 20,064.78
  4. Step 4: Simplify right side
    72,653.90x = 2,186,704,167.89
  5. Step 5: Solve for x
    x = 2,186,704,167.89/72,653.90
  6. Step 6: Final answer
    x = 30,097.55

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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.