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Finding the Fourth Proportional to 68,713.84, 103,065.72 and 21,954.16

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Solution

The fourth proportional to 68,713.84, 103,065.72 and 21,954.16 is: 32,929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,713.84 : 103,065.72 = 21,954.16 : x
  2. Step 2: Convert to fraction form
    68,713.84/103,065.72 = 21,954.16/x
  3. Step 3: Cross multiply
    68,713.84x = 103,065.72 × 21,954.16
  4. Step 4: Simplify right side
    68,713.84x = 2,262,721,307.40
  5. Step 5: Solve for x
    x = 2,262,721,307.40/68,713.84
  6. Step 6: Final answer
    x = 32,929.63

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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.