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Finding the Fourth Proportional to 136,280.70, 204,421.05 and 77,231.70

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Solution

The fourth proportional to 136,280.70, 204,421.05 and 77,231.70 is: 115,847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,280.70 : 204,421.05 = 77,231.70 : x
  2. Step 2: Convert to fraction form
    136,280.70/204,421.05 = 77,231.70/x
  3. Step 3: Cross multiply
    136,280.70x = 204,421.05 × 77,231.70
  4. Step 4: Simplify right side
    136,280.70x = 15,787,785,207.29
  5. Step 5: Solve for x
    x = 15,787,785,207.29/136,280.70
  6. Step 6: Final answer
    x = 115,847.55

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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.