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Finding the Fourth Proportional to 66,470, 91,735.08 and 36,662

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Solution

The fourth proportional to 66,470, 91,735.08 and 36,662 is: 50,597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,470 : 91,735.08 = 36,662 : x
  2. Step 2: Convert to fraction form
    66,470/91,735.08 = 36,662/x
  3. Step 3: Cross multiply
    66,470x = 91,735.08 × 36,662
  4. Step 4: Simplify right side
    66,470x = 3,363,191,502.96
  5. Step 5: Solve for x
    x = 3,363,191,502.96/66,470
  6. Step 6: Final answer
    x = 50,597.13

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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.