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Finding the Fourth Proportional to 68,072.16, 102,115.53 and 20,687.16

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Solution

The fourth proportional to 68,072.16, 102,115.53 and 20,687.16 is: 31,032.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,072.16 : 102,115.53 = 20,687.16 : x
  2. Step 2: Convert to fraction form
    68,072.16/102,115.53 = 20,687.16/x
  3. Step 3: Cross multiply
    68,072.16x = 102,115.53 × 20,687.16
  4. Step 4: Simplify right side
    68,072.16x = 2,112,480,307.59
  5. Step 5: Solve for x
    x = 2,112,480,307.59/68,072.16
  6. Step 6: Final answer
    x = 31,032.96

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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.