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Finding the Fourth Proportional to 77,418.78, 116,128.32 and 21,259.66

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Solution

The fourth proportional to 77,418.78, 116,128.32 and 21,259.66 is: 31,889.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,418.78 : 116,128.32 = 21,259.66 : x
  2. Step 2: Convert to fraction form
    77,418.78/116,128.32 = 21,259.66/x
  3. Step 3: Cross multiply
    77,418.78x = 116,128.32 × 21,259.66
  4. Step 4: Simplify right side
    77,418.78x = 2,468,848,599.57
  5. Step 5: Solve for x
    x = 2,468,848,599.57/77,418.78
  6. Step 6: Final answer
    x = 31,889.53

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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.