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Finding the Fourth Proportional to 119,512.64, 179,239.80 and 49,412

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Solution

The fourth proportional to 119,512.64, 179,239.80 and 49,412 is: 74,105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,512.64 : 179,239.80 = 49,412 : x
  2. Step 2: Convert to fraction form
    119,512.64/179,239.80 = 49,412/x
  3. Step 3: Cross multiply
    119,512.64x = 179,239.80 × 49,412
  4. Step 4: Simplify right side
    119,512.64x = 8,856,596,997.60
  5. Step 5: Solve for x
    x = 8,856,596,997.60/119,512.64
  6. Step 6: Final answer
    x = 74,105.94

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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.