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Finding the Fourth Proportional to 109,609.90, 164,414.85 and 103,486.30

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Solution

The fourth proportional to 109,609.90, 164,414.85 and 103,486.30 is: 155,229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,609.90 : 164,414.85 = 103,486.30 : x
  2. Step 2: Convert to fraction form
    109,609.90/164,414.85 = 103,486.30/x
  3. Step 3: Cross multiply
    109,609.90x = 164,414.85 × 103,486.30
  4. Step 4: Simplify right side
    109,609.90x = 17,014,684,491.56
  5. Step 5: Solve for x
    x = 17,014,684,491.56/109,609.90
  6. Step 6: Final answer
    x = 155,229.45

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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.