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Finding the Fourth Proportional to 77,644.26, 116,437.59 and 27,711

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Solution

The fourth proportional to 77,644.26, 116,437.59 and 27,711 is: 41,556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,644.26 : 116,437.59 = 27,711 : x
  2. Step 2: Convert to fraction form
    77,644.26/116,437.59 = 27,711/x
  3. Step 3: Cross multiply
    77,644.26x = 116,437.59 × 27,711
  4. Step 4: Simplify right side
    77,644.26x = 3,226,602,056.49
  5. Step 5: Solve for x
    x = 3,226,602,056.49/77,644.26
  6. Step 6: Final answer
    x = 41,556.22

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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.