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Finding the Fourth Proportional to 68,098.48, 102,147.72 and 21,355

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Solution

The fourth proportional to 68,098.48, 102,147.72 and 21,355 is: 32,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,098.48 : 102,147.72 = 21,355 : x
  2. Step 2: Convert to fraction form
    68,098.48/102,147.72 = 21,355/x
  3. Step 3: Cross multiply
    68,098.48x = 102,147.72 × 21,355
  4. Step 4: Simplify right side
    68,098.48x = 2,181,364,560.60
  5. Step 5: Solve for x
    x = 2,181,364,560.60/68,098.48
  6. Step 6: Final answer
    x = 32,032.50

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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.