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Finding the Fourth Proportional to 66,086.31, 91,199.17 and 35,871.62

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Solution

The fourth proportional to 66,086.31, 91,199.17 and 35,871.62 is: 49,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,086.31 : 91,199.17 = 35,871.62 : x
  2. Step 2: Convert to fraction form
    66,086.31/91,199.17 = 35,871.62/x
  3. Step 3: Cross multiply
    66,086.31x = 91,199.17 × 35,871.62
  4. Step 4: Simplify right side
    66,086.31x = 3,271,461,970.56
  5. Step 5: Solve for x
    x = 3,271,461,970.56/66,086.31
  6. Step 6: Final answer
    x = 49,502.87

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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.