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Finding the Fourth Proportional to 136,106.96, 204,160.44 and 42,620

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Solution

The fourth proportional to 136,106.96, 204,160.44 and 42,620 is: 63,930

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,106.96 : 204,160.44 = 42,620 : x
  2. Step 2: Convert to fraction form
    136,106.96/204,160.44 = 42,620/x
  3. Step 3: Cross multiply
    136,106.96x = 204,160.44 × 42,620
  4. Step 4: Simplify right side
    136,106.96x = 8,701,317,952.80
  5. Step 5: Solve for x
    x = 8,701,317,952.80/136,106.96
  6. Step 6: Final answer
    x = 63,930

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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.