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Finding the Fourth Proportional to 68,083.20, 102,117.60 and 21,333.60

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Solution

The fourth proportional to 68,083.20, 102,117.60 and 21,333.60 is: 31,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,083.20 : 102,117.60 = 21,333.60 : x
  2. Step 2: Convert to fraction form
    68,083.20/102,117.60 = 21,333.60/x
  3. Step 3: Cross multiply
    68,083.20x = 102,117.60 × 21,333.60
  4. Step 4: Simplify right side
    68,083.20x = 2,178,536,031.36
  5. Step 5: Solve for x
    x = 2,178,536,031.36/68,083.20
  6. Step 6: Final answer
    x = 31,998.14

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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.