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Finding the Fourth Proportional to 109,347.10, 164,020.65 and 100,015.90

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Solution

The fourth proportional to 109,347.10, 164,020.65 and 100,015.90 is: 150,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,347.10 : 164,020.65 = 100,015.90 : x
  2. Step 2: Convert to fraction form
    109,347.10/164,020.65 = 100,015.90/x
  3. Step 3: Cross multiply
    109,347.10x = 164,020.65 × 100,015.90
  4. Step 4: Simplify right side
    109,347.10x = 16,404,672,928.34
  5. Step 5: Solve for x
    x = 16,404,672,928.34/109,347.10
  6. Step 6: Final answer
    x = 150,023.85

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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.