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Finding the Fourth Proportional to 77,324.80, 106,759.62 and 59,387.75

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Solution

The fourth proportional to 77,324.80, 106,759.62 and 59,387.75 is: 81,994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,324.80 : 106,759.62 = 59,387.75 : x
  2. Step 2: Convert to fraction form
    77,324.80/106,759.62 = 59,387.75/x
  3. Step 3: Cross multiply
    77,324.80x = 106,759.62 × 59,387.75
  4. Step 4: Simplify right side
    77,324.80x = 6,340,213,622.66
  5. Step 5: Solve for x
    x = 6,340,213,622.66/77,324.80
  6. Step 6: Final answer
    x = 81,994.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.