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Finding the Fourth Proportional to 68,382.84, 102,496.50 and 28,915.32

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Solution

The fourth proportional to 68,382.84, 102,496.50 and 28,915.32 is: 43,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,382.84 : 102,496.50 = 28,915.32 : x
  2. Step 2: Convert to fraction form
    68,382.84/102,496.50 = 28,915.32/x
  3. Step 3: Cross multiply
    68,382.84x = 102,496.50 × 28,915.32
  4. Step 4: Simplify right side
    68,382.84x = 2,963,719,096.38
  5. Step 5: Solve for x
    x = 2,963,719,096.38/68,382.84
  6. Step 6: Final answer
    x = 43,340.10

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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.