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Finding the Fourth Proportional to 20,099.60, 30,119.70 and 14,564.60

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Solution

The fourth proportional to 20,099.60, 30,119.70 and 14,564.60 is: 21,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.60 : 30,119.70 = 14,564.60 : x
  2. Step 2: Convert to fraction form
    20,099.60/30,119.70 = 14,564.60/x
  3. Step 3: Cross multiply
    20,099.60x = 30,119.70 × 14,564.60
  4. Step 4: Simplify right side
    20,099.60x = 438,681,382.62
  5. Step 5: Solve for x
    x = 438,681,382.62/20,099.60
  6. Step 6: Final answer
    x = 21,825.38

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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.