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Finding the Fourth Proportional to 66,098.51, 91,216 and 35,883.81

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Solution

The fourth proportional to 66,098.51, 91,216 and 35,883.81 is: 49,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,098.51 : 91,216 = 35,883.81 : x
  2. Step 2: Convert to fraction form
    66,098.51/91,216 = 35,883.81/x
  3. Step 3: Cross multiply
    66,098.51x = 91,216 × 35,883.81
  4. Step 4: Simplify right side
    66,098.51x = 3,273,177,612.96
  5. Step 5: Solve for x
    x = 3,273,177,612.96/66,098.51
  6. Step 6: Final answer
    x = 49,519.69

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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.