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Finding the Fourth Proportional to 277,138.65, 415,708.33 and 66,776.59

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Solution

The fourth proportional to 277,138.65, 415,708.33 and 66,776.59 is: 100,164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,138.65 : 415,708.33 = 66,776.59 : x
  2. Step 2: Convert to fraction form
    277,138.65/415,708.33 = 66,776.59/x
  3. Step 3: Cross multiply
    277,138.65x = 415,708.33 × 66,776.59
  4. Step 4: Simplify right side
    277,138.65x = 27,759,582,299.57
  5. Step 5: Solve for x
    x = 27,759,582,299.57/277,138.65
  6. Step 6: Final answer
    x = 100,164.96

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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.