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Finding the Fourth Proportional to 119,894.96, 179,997.96 and 78,526.64

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Solution

The fourth proportional to 119,894.96, 179,997.96 and 78,526.64 is: 117,891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,894.96 : 179,997.96 = 78,526.64 : x
  2. Step 2: Convert to fraction form
    119,894.96/179,997.96 = 78,526.64/x
  3. Step 3: Cross multiply
    119,894.96x = 179,997.96 × 78,526.64
  4. Step 4: Simplify right side
    119,894.96x = 14,134,635,005.65
  5. Step 5: Solve for x
    x = 14,134,635,005.65/119,894.96
  6. Step 6: Final answer
    x = 117,891.82

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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.