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Finding the Fourth Proportional to 115,952.54, 173,678.86 and 78,305.61

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Solution

The fourth proportional to 115,952.54, 173,678.86 and 78,305.61 is: 117,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,952.54 : 173,678.86 = 78,305.61 : x
  2. Step 2: Convert to fraction form
    115,952.54/173,678.86 = 78,305.61/x
  3. Step 3: Cross multiply
    115,952.54x = 173,678.86 × 78,305.61
  4. Step 4: Simplify right side
    115,952.54x = 13,600,028,684.88
  5. Step 5: Solve for x
    x = 13,600,028,684.88/115,952.54
  6. Step 6: Final answer
    x = 117,289.61

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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.