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Finding the Fourth Proportional to 110,655.40, 165,723.90 and 75,404.20

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Solution

The fourth proportional to 110,655.40, 165,723.90 and 75,404.20 is: 112,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,655.40 : 165,723.90 = 75,404.20 : x
  2. Step 2: Convert to fraction form
    110,655.40/165,723.90 = 75,404.20/x
  3. Step 3: Cross multiply
    110,655.40x = 165,723.90 × 75,404.20
  4. Step 4: Simplify right side
    110,655.40x = 12,496,278,100.38
  5. Step 5: Solve for x
    x = 12,496,278,100.38/110,655.40
  6. Step 6: Final answer
    x = 112,929.67

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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.