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Finding the Fourth Proportional to 68,059.98, 102,089.97 and 21,316.50

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Solution

The fourth proportional to 68,059.98, 102,089.97 and 21,316.50 is: 31,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,059.98 : 102,089.97 = 21,316.50 : x
  2. Step 2: Convert to fraction form
    68,059.98/102,089.97 = 21,316.50/x
  3. Step 3: Cross multiply
    68,059.98x = 102,089.97 × 21,316.50
  4. Step 4: Simplify right side
    68,059.98x = 2,176,200,845.51
  5. Step 5: Solve for x
    x = 2,176,200,845.51/68,059.98
  6. Step 6: Final answer
    x = 31,974.75

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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.