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Finding the Fourth Proportional to 68,211.65, 102,333.31 and 21,463.31

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Solution

The fourth proportional to 68,211.65, 102,333.31 and 21,463.31 is: 32,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,211.65 : 102,333.31 = 21,463.31 : x
  2. Step 2: Convert to fraction form
    68,211.65/102,333.31 = 21,463.31/x
  3. Step 3: Cross multiply
    68,211.65x = 102,333.31 × 21,463.31
  4. Step 4: Simplify right side
    68,211.65x = 2,196,411,758.03
  5. Step 5: Solve for x
    x = 2,196,411,758.03/68,211.65
  6. Step 6: Final answer
    x = 32,199.95

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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.