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Finding the Fourth Proportional to 66,221, 91,384.98 and 36,413

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Solution

The fourth proportional to 66,221, 91,384.98 and 36,413 is: 50,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,221 : 91,384.98 = 36,413 : x
  2. Step 2: Convert to fraction form
    66,221/91,384.98 = 36,413/x
  3. Step 3: Cross multiply
    66,221x = 91,384.98 × 36,413
  4. Step 4: Simplify right side
    66,221x = 3,327,601,276.74
  5. Step 5: Solve for x
    x = 3,327,601,276.74/66,221
  6. Step 6: Final answer
    x = 50,249.94

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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.