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Finding the Fourth Proportional to 135,631, 203,446.54 and 42,136.76

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Solution

The fourth proportional to 135,631, 203,446.54 and 42,136.76 is: 63,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,631 : 203,446.54 = 42,136.76 : x
  2. Step 2: Convert to fraction form
    135,631/203,446.54 = 42,136.76/x
  3. Step 3: Cross multiply
    135,631x = 203,446.54 × 42,136.76
  4. Step 4: Simplify right side
    135,631x = 8,572,578,028.81
  5. Step 5: Solve for x
    x = 8,572,578,028.81/135,631
  6. Step 6: Final answer
    x = 63,205.15

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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.