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Finding the Fourth Proportional to 77,962.31, 116,379.51 and 68,503.82

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Solution

The fourth proportional to 77,962.31, 116,379.51 and 68,503.82 is: 102,260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,962.31 : 116,379.51 = 68,503.82 : x
  2. Step 2: Convert to fraction form
    77,962.31/116,379.51 = 68,503.82/x
  3. Step 3: Cross multiply
    77,962.31x = 116,379.51 × 68,503.82
  4. Step 4: Simplify right side
    77,962.31x = 7,972,441,004.73
  5. Step 5: Solve for x
    x = 7,972,441,004.73/77,962.31
  6. Step 6: Final answer
    x = 102,260.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.