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Finding the Fourth Proportional to 136,147.96, 204,222.03 and 42,661

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Solution

The fourth proportional to 136,147.96, 204,222.03 and 42,661 is: 63,991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,147.96 : 204,222.03 = 42,661 : x
  2. Step 2: Convert to fraction form
    136,147.96/204,222.03 = 42,661/x
  3. Step 3: Cross multiply
    136,147.96x = 204,222.03 × 42,661
  4. Step 4: Simplify right side
    136,147.96x = 8,712,316,021.83
  5. Step 5: Solve for x
    x = 8,712,316,021.83/136,147.96
  6. Step 6: Final answer
    x = 63,991.53

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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.