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Finding the Fourth Proportional to 109,719.10, 164,578.65 and 90,019.90

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Solution

The fourth proportional to 109,719.10, 164,578.65 and 90,019.90 is: 135,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,719.10 : 164,578.65 = 90,019.90 : x
  2. Step 2: Convert to fraction form
    109,719.10/164,578.65 = 90,019.90/x
  3. Step 3: Cross multiply
    109,719.10x = 164,578.65 × 90,019.90
  4. Step 4: Simplify right side
    109,719.10x = 14,815,353,615.14
  5. Step 5: Solve for x
    x = 14,815,353,615.14/109,719.10
  6. Step 6: Final answer
    x = 135,029.85

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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.