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Finding the Fourth Proportional to 20,054, 30,084.04 and 14,548.88

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Solution

The fourth proportional to 20,054, 30,084.04 and 14,548.88 is: 21,825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,054 : 30,084.04 = 14,548.88 : x
  2. Step 2: Convert to fraction form
    20,054/30,084.04 = 14,548.88/x
  3. Step 3: Cross multiply
    20,054x = 30,084.04 × 14,548.88
  4. Step 4: Simplify right side
    20,054x = 437,689,087.88
  5. Step 5: Solve for x
    x = 437,689,087.88/20,054
  6. Step 6: Final answer
    x = 21,825.53

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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.