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Finding the Fourth Proportional to 135,470.16, 203,336.46 and 65,398.68

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Solution

The fourth proportional to 135,470.16, 203,336.46 and 65,398.68 is: 98,161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,470.16 : 203,336.46 = 65,398.68 : x
  2. Step 2: Convert to fraction form
    135,470.16/203,336.46 = 65,398.68/x
  3. Step 3: Cross multiply
    135,470.16x = 203,336.46 × 65,398.68
  4. Step 4: Simplify right side
    135,470.16x = 13,297,936,079.87
  5. Step 5: Solve for x
    x = 13,297,936,079.87/135,470.16
  6. Step 6: Final answer
    x = 98,161.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.