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Finding the Fourth Proportional to 68,584, 102,881.76 and 19,336

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Solution

The fourth proportional to 68,584, 102,881.76 and 19,336 is: 29,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,584 : 102,881.76 = 19,336 : x
  2. Step 2: Convert to fraction form
    68,584/102,881.76 = 19,336/x
  3. Step 3: Cross multiply
    68,584x = 102,881.76 × 19,336
  4. Step 4: Simplify right side
    68,584x = 1,989,321,711.36
  5. Step 5: Solve for x
    x = 1,989,321,711.36/68,584
  6. Step 6: Final answer
    x = 29,005.62

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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.