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Finding the Fourth Proportional to 277,820.72, 416,758.97 and 75,420.25

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Solution

The fourth proportional to 277,820.72, 416,758.97 and 75,420.25 is: 113,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,820.72 : 416,758.97 = 75,420.25 : x
  2. Step 2: Convert to fraction form
    277,820.72/416,758.97 = 75,420.25/x
  3. Step 3: Cross multiply
    277,820.72x = 416,758.97 × 75,420.25
  4. Step 4: Simplify right side
    277,820.72x = 31,432,064,853.80
  5. Step 5: Solve for x
    x = 31,432,064,853.80/277,820.72
  6. Step 6: Final answer
    x = 113,137.94

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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.