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Finding the Fourth Proportional to 68,156.98, 102,239.55 and 21,409.86

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Solution

The fourth proportional to 68,156.98, 102,239.55 and 21,409.86 is: 32,116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,156.98 : 102,239.55 = 21,409.86 : x
  2. Step 2: Convert to fraction form
    68,156.98/102,239.55 = 21,409.86/x
  3. Step 3: Cross multiply
    68,156.98x = 102,239.55 × 21,409.86
  4. Step 4: Simplify right side
    68,156.98x = 2,188,934,451.96
  5. Step 5: Solve for x
    x = 2,188,934,451.96/68,156.98
  6. Step 6: Final answer
    x = 32,116.07

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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.