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Finding the Fourth Proportional to 68,077.74, 102,116.64 and 21,334.26

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Solution

The fourth proportional to 68,077.74, 102,116.64 and 21,334.26 is: 32,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,077.74 : 102,116.64 = 21,334.26 : x
  2. Step 2: Convert to fraction form
    68,077.74/102,116.64 = 21,334.26/x
  3. Step 3: Cross multiply
    68,077.74x = 102,116.64 × 21,334.26
  4. Step 4: Simplify right side
    68,077.74x = 2,178,582,948.09
  5. Step 5: Solve for x
    x = 2,178,582,948.09/68,077.74
  6. Step 6: Final answer
    x = 32,001.40

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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.