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Finding the Fourth Proportional to 68,153.89, 102,241.93 and 20,127.35

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Solution

The fourth proportional to 68,153.89, 102,241.93 and 20,127.35 is: 30,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,153.89 : 102,241.93 = 20,127.35 : x
  2. Step 2: Convert to fraction form
    68,153.89/102,241.93 = 20,127.35/x
  3. Step 3: Cross multiply
    68,153.89x = 102,241.93 × 20,127.35
  4. Step 4: Simplify right side
    68,153.89x = 2,057,859,009.15
  5. Step 5: Solve for x
    x = 2,057,859,009.15/68,153.89
  6. Step 6: Final answer
    x = 30,194.30

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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.