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Finding the Fourth Proportional to 109,770.70, 164,459.22 and 103,865.80

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Solution

The fourth proportional to 109,770.70, 164,459.22 and 103,865.80 is: 155,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,770.70 : 164,459.22 = 103,865.80 : x
  2. Step 2: Convert to fraction form
    109,770.70/164,459.22 = 103,865.80/x
  3. Step 3: Cross multiply
    109,770.70x = 164,459.22 × 103,865.80
  4. Step 4: Simplify right side
    109,770.70x = 17,081,688,452.68
  5. Step 5: Solve for x
    x = 17,081,688,452.68/109,770.70
  6. Step 6: Final answer
    x = 155,612.46

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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.