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Finding the Fourth Proportional to 109,742.60, 164,613.90 and 65,505.80

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Solution

The fourth proportional to 109,742.60, 164,613.90 and 65,505.80 is: 98,258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,742.60 : 164,613.90 = 65,505.80 : x
  2. Step 2: Convert to fraction form
    109,742.60/164,613.90 = 65,505.80/x
  3. Step 3: Cross multiply
    109,742.60x = 164,613.90 × 65,505.80
  4. Step 4: Simplify right side
    109,742.60x = 10,783,165,210.62
  5. Step 5: Solve for x
    x = 10,783,165,210.62/109,742.60
  6. Step 6: Final answer
    x = 98,258.70

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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.