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Finding the Fourth Proportional to 65,706.21, 90,674.46 and 35,491.50

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Solution

The fourth proportional to 65,706.21, 90,674.46 and 35,491.50 is: 48,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,706.21 : 90,674.46 = 35,491.50 : x
  2. Step 2: Convert to fraction form
    65,706.21/90,674.46 = 35,491.50/x
  3. Step 3: Cross multiply
    65,706.21x = 90,674.46 × 35,491.50
  4. Step 4: Simplify right side
    65,706.21x = 3,218,172,597.09
  5. Step 5: Solve for x
    x = 3,218,172,597.09/65,706.21
  6. Step 6: Final answer
    x = 48,978.21

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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.