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Finding the Fourth Proportional to 259,474.68, 389,209.68 and 81,981.68

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Solution

The fourth proportional to 259,474.68, 389,209.68 and 81,981.68 is: 122,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,474.68 : 389,209.68 = 81,981.68 : x
  2. Step 2: Convert to fraction form
    259,474.68/389,209.68 = 81,981.68/x
  3. Step 3: Cross multiply
    259,474.68x = 389,209.68 × 81,981.68
  4. Step 4: Simplify right side
    259,474.68x = 31,908,063,438.66
  5. Step 5: Solve for x
    x = 31,908,063,438.66/259,474.68
  6. Step 6: Final answer
    x = 122,971.78

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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.