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Finding the Fourth Proportional to 77,711, 116,586.98 and 27,796.04

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Solution

The fourth proportional to 77,711, 116,586.98 and 27,796.04 is: 41,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,711 : 116,586.98 = 27,796.04 : x
  2. Step 2: Convert to fraction form
    77,711/116,586.98 = 27,796.04/x
  3. Step 3: Cross multiply
    77,711x = 116,586.98 × 27,796.04
  4. Step 4: Simplify right side
    77,711x = 3,240,656,359.56
  5. Step 5: Solve for x
    x = 3,240,656,359.56/77,711
  6. Step 6: Final answer
    x = 41,701.39

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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.