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Finding the Fourth Proportional to 20,098, 30,143.76 and 14,236.84

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Solution

The fourth proportional to 20,098, 30,143.76 and 14,236.84 is: 21,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098 : 30,143.76 = 14,236.84 : x
  2. Step 2: Convert to fraction form
    20,098/30,143.76 = 14,236.84/x
  3. Step 3: Cross multiply
    20,098x = 30,143.76 × 14,236.84
  4. Step 4: Simplify right side
    20,098x = 429,151,888.12
  5. Step 5: Solve for x
    x = 429,151,888.12/20,098
  6. Step 6: Final answer
    x = 21,352.96

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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.