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Finding the Fourth Proportional to 66,820, 92,211.78 and 37,012

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Solution

The fourth proportional to 66,820, 92,211.78 and 37,012 is: 51,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,820 : 92,211.78 = 37,012 : x
  2. Step 2: Convert to fraction form
    66,820/92,211.78 = 37,012/x
  3. Step 3: Cross multiply
    66,820x = 92,211.78 × 37,012
  4. Step 4: Simplify right side
    66,820x = 3,412,942,401.36
  5. Step 5: Solve for x
    x = 3,412,942,401.36/66,820
  6. Step 6: Final answer
    x = 51,076.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.