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Finding the Fourth Proportional to 106,597.77, 159,997.12 and 78,431.95

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Solution

The fourth proportional to 106,597.77, 159,997.12 and 78,431.95 is: 117,721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,597.77 : 159,997.12 = 78,431.95 : x
  2. Step 2: Convert to fraction form
    106,597.77/159,997.12 = 78,431.95/x
  3. Step 3: Cross multiply
    106,597.77x = 159,997.12 × 78,431.95
  4. Step 4: Simplify right side
    106,597.77x = 12,548,886,115.98
  5. Step 5: Solve for x
    x = 12,548,886,115.98/106,597.77
  6. Step 6: Final answer
    x = 117,721.84

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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.