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Finding the Fourth Proportional to 78,092.92, 117,187.56 and 30,699.70

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Solution

The fourth proportional to 78,092.92, 117,187.56 and 30,699.70 is: 46,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,092.92 : 117,187.56 = 30,699.70 : x
  2. Step 2: Convert to fraction form
    78,092.92/117,187.56 = 30,699.70/x
  3. Step 3: Cross multiply
    78,092.92x = 117,187.56 × 30,699.70
  4. Step 4: Simplify right side
    78,092.92x = 3,597,622,935.73
  5. Step 5: Solve for x
    x = 3,597,622,935.73/78,092.92
  6. Step 6: Final answer
    x = 46,068.49

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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.