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Finding the Fourth Proportional to 70,615.28, 105,981.24 and 29,091.44

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Solution

The fourth proportional to 70,615.28, 105,981.24 and 29,091.44 is: 43,661.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,615.28 : 105,981.24 = 29,091.44 : x
  2. Step 2: Convert to fraction form
    70,615.28/105,981.24 = 29,091.44/x
  3. Step 3: Cross multiply
    70,615.28x = 105,981.24 × 29,091.44
  4. Step 4: Simplify right side
    70,615.28x = 3,083,146,884.59
  5. Step 5: Solve for x
    x = 3,083,146,884.59/70,615.28
  6. Step 6: Final answer
    x = 43,661.19

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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.