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Finding the Fourth Proportional to 68,802.75, 103,218.94 and 21,416.84

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Solution

The fourth proportional to 68,802.75, 103,218.94 and 21,416.84 is: 32,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,802.75 : 103,218.94 = 21,416.84 : x
  2. Step 2: Convert to fraction form
    68,802.75/103,218.94 = 21,416.84/x
  3. Step 3: Cross multiply
    68,802.75x = 103,218.94 × 21,416.84
  4. Step 4: Simplify right side
    68,802.75x = 2,210,623,420.70
  5. Step 5: Solve for x
    x = 2,210,623,420.70/68,802.75
  6. Step 6: Final answer
    x = 32,129.87

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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.