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Finding the Fourth Proportional to 66,781, 92,160.82 and 36,973

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Solution

The fourth proportional to 66,781, 92,160.82 and 36,973 is: 51,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,781 : 92,160.82 = 36,973 : x
  2. Step 2: Convert to fraction form
    66,781/92,160.82 = 36,973/x
  3. Step 3: Cross multiply
    66,781x = 92,160.82 × 36,973
  4. Step 4: Simplify right side
    66,781x = 3,407,461,997.86
  5. Step 5: Solve for x
    x = 3,407,461,997.86/66,781
  6. Step 6: Final answer
    x = 51,024.42

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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.