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Finding the Fourth Proportional to 100,819.17, 151,228.76 and 30,698.48

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Solution

The fourth proportional to 100,819.17, 151,228.76 and 30,698.48 is: 46,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,819.17 : 151,228.76 = 30,698.48 : x
  2. Step 2: Convert to fraction form
    100,819.17/151,228.76 = 30,698.48/x
  3. Step 3: Cross multiply
    100,819.17x = 151,228.76 × 30,698.48
  4. Step 4: Simplify right side
    100,819.17x = 4,642,493,288.86
  5. Step 5: Solve for x
    x = 4,642,493,288.86/100,819.17
  6. Step 6: Final answer
    x = 46,047.72

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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.