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Finding the Fourth Proportional to 102,012.89, 140,797.94 and 65,195.55

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Solution

The fourth proportional to 102,012.89, 140,797.94 and 65,195.55 is: 89,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,012.89 : 140,797.94 = 65,195.55 : x
  2. Step 2: Convert to fraction form
    102,012.89/140,797.94 = 65,195.55/x
  3. Step 3: Cross multiply
    102,012.89x = 140,797.94 × 65,195.55
  4. Step 4: Simplify right side
    102,012.89x = 9,179,398,811.19
  5. Step 5: Solve for x
    x = 9,179,398,811.19/102,012.89
  6. Step 6: Final answer
    x = 89,982.74

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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.