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Finding the Fourth Proportional to 66,409, 91,645.74 and 36,194.20

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Solution

The fourth proportional to 66,409, 91,645.74 and 36,194.20 is: 49,948.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,409 : 91,645.74 = 36,194.20 : x
  2. Step 2: Convert to fraction form
    66,409/91,645.74 = 36,194.20/x
  3. Step 3: Cross multiply
    66,409x = 91,645.74 × 36,194.20
  4. Step 4: Simplify right side
    66,409x = 3,317,044,242.71
  5. Step 5: Solve for x
    x = 3,317,044,242.71/66,409
  6. Step 6: Final answer
    x = 49,948.72

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1.5x scale

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.