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Finding the Fourth Proportional to 66,097.71, 91,215 and 35,883.06

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Solution

The fourth proportional to 66,097.71, 91,215 and 35,883.06 is: 49,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,097.71 : 91,215 = 35,883.06 : x
  2. Step 2: Convert to fraction form
    66,097.71/91,215 = 35,883.06/x
  3. Step 3: Cross multiply
    66,097.71x = 91,215 × 35,883.06
  4. Step 4: Simplify right side
    66,097.71x = 3,273,073,317.90
  5. Step 5: Solve for x
    x = 3,273,073,317.90/66,097.71
  6. Step 6: Final answer
    x = 49,518.71

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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.