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Finding the Fourth Proportional to 71,969.28, 107,910 and 29,816.16

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Solution

The fourth proportional to 71,969.28, 107,910 and 29,816.16 is: 44,706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,969.28 : 107,910 = 29,816.16 : x
  2. Step 2: Convert to fraction form
    71,969.28/107,910 = 29,816.16/x
  3. Step 3: Cross multiply
    71,969.28x = 107,910 × 29,816.16
  4. Step 4: Simplify right side
    71,969.28x = 3,217,461,825.60
  5. Step 5: Solve for x
    x = 3,217,461,825.60/71,969.28
  6. Step 6: Final answer
    x = 44,706.04

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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.