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Finding the Fourth Proportional to 68,046.48, 102,069.72 and 21,303

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Solution

The fourth proportional to 68,046.48, 102,069.72 and 21,303 is: 31,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,046.48 : 102,069.72 = 21,303 : x
  2. Step 2: Convert to fraction form
    68,046.48/102,069.72 = 21,303/x
  3. Step 3: Cross multiply
    68,046.48x = 102,069.72 × 21,303
  4. Step 4: Simplify right side
    68,046.48x = 2,174,391,245.16
  5. Step 5: Solve for x
    x = 2,174,391,245.16/68,046.48
  6. Step 6: Final answer
    x = 31,954.50

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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.