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Finding the Fourth Proportional to 68,523.66, 102,640.65 and 35,142.06

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Solution

The fourth proportional to 68,523.66, 102,640.65 and 35,142.06 is: 52,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,523.66 : 102,640.65 = 35,142.06 : x
  2. Step 2: Convert to fraction form
    68,523.66/102,640.65 = 35,142.06/x
  3. Step 3: Cross multiply
    68,523.66x = 102,640.65 × 35,142.06
  4. Step 4: Simplify right side
    68,523.66x = 3,607,003,880.74
  5. Step 5: Solve for x
    x = 3,607,003,880.74/68,523.66
  6. Step 6: Final answer
    x = 52,638.81

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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.