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Finding the Fourth Proportional to 20,094.88, 30,142.08 and 9,699.28

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Solution

The fourth proportional to 20,094.88, 30,142.08 and 9,699.28 is: 14,548.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094.88 : 30,142.08 = 9,699.28 : x
  2. Step 2: Convert to fraction form
    20,094.88/30,142.08 = 9,699.28/x
  3. Step 3: Cross multiply
    20,094.88x = 30,142.08 × 9,699.28
  4. Step 4: Simplify right side
    20,094.88x = 292,356,473.70
  5. Step 5: Solve for x
    x = 292,356,473.70/20,094.88
  6. Step 6: Final answer
    x = 14,548.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.