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Finding the Fourth Proportional to 77,770.45, 116,665.31 and 27,855.91

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Solution

The fourth proportional to 77,770.45, 116,665.31 and 27,855.91 is: 41,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,770.45 : 116,665.31 = 27,855.91 : x
  2. Step 2: Convert to fraction form
    77,770.45/116,665.31 = 27,855.91/x
  3. Step 3: Cross multiply
    77,770.45x = 116,665.31 × 27,855.91
  4. Step 4: Simplify right side
    77,770.45x = 3,249,818,375.48
  5. Step 5: Solve for x
    x = 3,249,818,375.48/77,770.45
  6. Step 6: Final answer
    x = 41,787.32

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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.