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Finding the Fourth Proportional to 102,819.20, 154,228.80 and 61,347.20

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Solution

The fourth proportional to 102,819.20, 154,228.80 and 61,347.20 is: 92,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,819.20 : 154,228.80 = 61,347.20 : x
  2. Step 2: Convert to fraction form
    102,819.20/154,228.80 = 61,347.20/x
  3. Step 3: Cross multiply
    102,819.20x = 154,228.80 × 61,347.20
  4. Step 4: Simplify right side
    102,819.20x = 9,461,505,039.36
  5. Step 5: Solve for x
    x = 9,461,505,039.36/102,819.20
  6. Step 6: Final answer
    x = 92,020.80

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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.