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Finding the Fourth Proportional to 90,613.20, 135,786.15 and 65,705.70

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Solution

The fourth proportional to 90,613.20, 135,786.15 and 65,705.70 is: 98,461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,613.20 : 135,786.15 = 65,705.70 : x
  2. Step 2: Convert to fraction form
    90,613.20/135,786.15 = 65,705.70/x
  3. Step 3: Cross multiply
    90,613.20x = 135,786.15 × 65,705.70
  4. Step 4: Simplify right side
    90,613.20x = 8,921,924,036.06
  5. Step 5: Solve for x
    x = 8,921,924,036.06/90,613.20
  6. Step 6: Final answer
    x = 98,461.64

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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.