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Finding the Fourth Proportional to 102,819.20, 154,228.80 and 79,491.20

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Solution

The fourth proportional to 102,819.20, 154,228.80 and 79,491.20 is: 119,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,819.20 : 154,228.80 = 79,491.20 : x
  2. Step 2: Convert to fraction form
    102,819.20/154,228.80 = 79,491.20/x
  3. Step 3: Cross multiply
    102,819.20x = 154,228.80 × 79,491.20
  4. Step 4: Simplify right side
    102,819.20x = 12,259,832,386.56
  5. Step 5: Solve for x
    x = 12,259,832,386.56/102,819.20
  6. Step 6: Final answer
    x = 119,236.80

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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.