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Finding the Fourth Proportional to 98,819.31, 148,247.70 and 39,659.68

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Solution

The fourth proportional to 98,819.31, 148,247.70 and 39,659.68 is: 59,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,819.31 : 148,247.70 = 39,659.68 : x
  2. Step 2: Convert to fraction form
    98,819.31/148,247.70 = 39,659.68/x
  3. Step 3: Cross multiply
    98,819.31x = 148,247.70 × 39,659.68
  4. Step 4: Simplify right side
    98,819.31x = 5,879,456,342.74
  5. Step 5: Solve for x
    x = 5,879,456,342.74/98,819.31
  6. Step 6: Final answer
    x = 59,497.04

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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.