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Finding the Fourth Proportional to 220,717.60, 330,817.20 and 102,138.46

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Solution

The fourth proportional to 220,717.60, 330,817.20 and 102,138.46 is: 153,087.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,717.60 : 330,817.20 = 102,138.46 : x
  2. Step 2: Convert to fraction form
    220,717.60/330,817.20 = 102,138.46/x
  3. Step 3: Cross multiply
    220,717.60x = 330,817.20 × 102,138.46
  4. Step 4: Simplify right side
    220,717.60x = 33,789,159,349.51
  5. Step 5: Solve for x
    x = 33,789,159,349.51/220,717.60
  6. Step 6: Final answer
    x = 153,087.74

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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.