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Finding the Fourth Proportional to 20,103, 30,156.66 and 9,014.64

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Solution

The fourth proportional to 20,103, 30,156.66 and 9,014.64 is: 13,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,103 : 30,156.66 = 9,014.64 : x
  2. Step 2: Convert to fraction form
    20,103/30,156.66 = 9,014.64/x
  3. Step 3: Cross multiply
    20,103x = 30,156.66 × 9,014.64
  4. Step 4: Simplify right side
    20,103x = 271,851,433.50
  5. Step 5: Solve for x
    x = 271,851,433.50/20,103
  6. Step 6: Final answer
    x = 13,522.93

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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.