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Finding the Fourth Proportional to 77,418.38, 116,127.78 and 21,259.26

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Solution

The fourth proportional to 77,418.38, 116,127.78 and 21,259.26 is: 31,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,418.38 : 116,127.78 = 21,259.26 : x
  2. Step 2: Convert to fraction form
    77,418.38/116,127.78 = 21,259.26/x
  3. Step 3: Cross multiply
    77,418.38x = 116,127.78 × 21,259.26
  4. Step 4: Simplify right side
    77,418.38x = 2,468,790,588.52
  5. Step 5: Solve for x
    x = 2,468,790,588.52/77,418.38
  6. Step 6: Final answer
    x = 31,888.95

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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.