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Finding the Fourth Proportional to 45,414, 68,091.48 and 21,708.72

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Solution

The fourth proportional to 45,414, 68,091.48 and 21,708.72 is: 32,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,414 : 68,091.48 = 21,708.72 : x
  2. Step 2: Convert to fraction form
    45,414/68,091.48 = 21,708.72/x
  3. Step 3: Cross multiply
    45,414x = 68,091.48 × 21,708.72
  4. Step 4: Simplify right side
    45,414x = 1,478,178,873.71
  5. Step 5: Solve for x
    x = 1,478,178,873.71/45,414
  6. Step 6: Final answer
    x = 32,548.97

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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.