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Finding the Fourth Proportional to 68,278.50, 102,417.60 and 18,358.60

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Solution

The fourth proportional to 68,278.50, 102,417.60 and 18,358.60 is: 27,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,278.50 : 102,417.60 = 18,358.60 : x
  2. Step 2: Convert to fraction form
    68,278.50/102,417.60 = 18,358.60/x
  3. Step 3: Cross multiply
    68,278.50x = 102,417.60 × 18,358.60
  4. Step 4: Simplify right side
    68,278.50x = 1,880,243,751.36
  5. Step 5: Solve for x
    x = 1,880,243,751.36/68,278.50
  6. Step 6: Final answer
    x = 27,537.86

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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.