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Finding the Fourth Proportional to 103,380.82, 154,972.74 and 33,210.88

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Solution

The fourth proportional to 103,380.82, 154,972.74 and 33,210.88 is: 49,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,380.82 : 154,972.74 = 33,210.88 : x
  2. Step 2: Convert to fraction form
    103,380.82/154,972.74 = 33,210.88/x
  3. Step 3: Cross multiply
    103,380.82x = 154,972.74 × 33,210.88
  4. Step 4: Simplify right side
    103,380.82x = 5,146,781,071.41
  5. Step 5: Solve for x
    x = 5,146,781,071.41/103,380.82
  6. Step 6: Final answer
    x = 49,784.68

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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.