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Finding the Fourth Proportional to 77,472.62, 116,194.94 and 21,305.44

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Solution

The fourth proportional to 77,472.62, 116,194.94 and 21,305.44 is: 31,954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,472.62 : 116,194.94 = 21,305.44 : x
  2. Step 2: Convert to fraction form
    77,472.62/116,194.94 = 21,305.44/x
  3. Step 3: Cross multiply
    77,472.62x = 116,194.94 × 21,305.44
  4. Step 4: Simplify right side
    77,472.62x = 2,475,584,322.47
  5. Step 5: Solve for x
    x = 2,475,584,322.47/77,472.62
  6. Step 6: Final answer
    x = 31,954.31

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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.