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Finding the Fourth Proportional to 20,099, 30,145.26 and 14,237.84

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Solution

The fourth proportional to 20,099, 30,145.26 and 14,237.84 is: 21,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099 : 30,145.26 = 14,237.84 : x
  2. Step 2: Convert to fraction form
    20,099/30,145.26 = 14,237.84/x
  3. Step 3: Cross multiply
    20,099x = 30,145.26 × 14,237.84
  4. Step 4: Simplify right side
    20,099x = 429,203,388.64
  5. Step 5: Solve for x
    x = 429,203,388.64/20,099
  6. Step 6: Final answer
    x = 21,354.46

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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.