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Finding the Fourth Proportional to 68,494.89, 102,742.53 and 21,108.45

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Solution

The fourth proportional to 68,494.89, 102,742.53 and 21,108.45 is: 31,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,494.89 : 102,742.53 = 21,108.45 : x
  2. Step 2: Convert to fraction form
    68,494.89/102,742.53 = 21,108.45/x
  3. Step 3: Cross multiply
    68,494.89x = 102,742.53 × 21,108.45
  4. Step 4: Simplify right side
    68,494.89x = 2,168,735,863.51
  5. Step 5: Solve for x
    x = 2,168,735,863.51/68,494.89
  6. Step 6: Final answer
    x = 31,662.74

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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.