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Finding the Fourth Proportional to 66,394, 91,623.72 and 36,586

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Solution

The fourth proportional to 66,394, 91,623.72 and 36,586 is: 50,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,394 : 91,623.72 = 36,586 : x
  2. Step 2: Convert to fraction form
    66,394/91,623.72 = 36,586/x
  3. Step 3: Cross multiply
    66,394x = 91,623.72 × 36,586
  4. Step 4: Simplify right side
    66,394x = 3,352,145,419.92
  5. Step 5: Solve for x
    x = 3,352,145,419.92/66,394
  6. Step 6: Final answer
    x = 50,488.68

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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.