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Finding the Fourth Proportional to 77,516.70, 116,261.73 and 21,344.31

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Solution

The fourth proportional to 77,516.70, 116,261.73 and 21,344.31 is: 32,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,516.70 : 116,261.73 = 21,344.31 : x
  2. Step 2: Convert to fraction form
    77,516.70/116,261.73 = 21,344.31/x
  3. Step 3: Cross multiply
    77,516.70x = 116,261.73 × 21,344.31
  4. Step 4: Simplify right side
    77,516.70x = 2,481,526,406.26
  5. Step 5: Solve for x
    x = 2,481,526,406.26/77,516.70
  6. Step 6: Final answer
    x = 32,012.80

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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.