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Finding the Fourth Proportional to 68,154.75, 102,235.77 and 21,411.27

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Solution

The fourth proportional to 68,154.75, 102,235.77 and 21,411.27 is: 32,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,154.75 : 102,235.77 = 21,411.27 : x
  2. Step 2: Convert to fraction form
    68,154.75/102,235.77 = 21,411.27/x
  3. Step 3: Cross multiply
    68,154.75x = 102,235.77 × 21,411.27
  4. Step 4: Simplify right side
    68,154.75x = 2,188,997,675.13
  5. Step 5: Solve for x
    x = 2,188,997,675.13/68,154.75
  6. Step 6: Final answer
    x = 32,118.05

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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.