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Finding the Fourth Proportional to 259,633.80, 389,421.90 and 72,664.20

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Solution

The fourth proportional to 259,633.80, 389,421.90 and 72,664.20 is: 108,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,633.80 : 389,421.90 = 72,664.20 : x
  2. Step 2: Convert to fraction form
    259,633.80/389,421.90 = 72,664.20/x
  3. Step 3: Cross multiply
    259,633.80x = 389,421.90 × 72,664.20
  4. Step 4: Simplify right side
    259,633.80x = 28,297,030,825.98
  5. Step 5: Solve for x
    x = 28,297,030,825.98/259,633.80
  6. Step 6: Final answer
    x = 108,988.24

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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.