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Finding the Fourth Proportional to 117,865.86, 176,797.86 and 78,063

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Solution

The fourth proportional to 117,865.86, 176,797.86 and 78,063 is: 117,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,865.86 : 176,797.86 = 78,063 : x
  2. Step 2: Convert to fraction form
    117,865.86/176,797.86 = 78,063/x
  3. Step 3: Cross multiply
    117,865.86x = 176,797.86 × 78,063
  4. Step 4: Simplify right side
    117,865.86x = 13,801,371,345.18
  5. Step 5: Solve for x
    x = 13,801,371,345.18/117,865.86
  6. Step 6: Final answer
    x = 117,093.88

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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.