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Finding the Fourth Proportional to 70,411.29, 105,617.09 and 17,103.03

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Solution

The fourth proportional to 70,411.29, 105,617.09 and 17,103.03 is: 25,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,411.29 : 105,617.09 = 17,103.03 : x
  2. Step 2: Convert to fraction form
    70,411.29/105,617.09 = 17,103.03/x
  3. Step 3: Cross multiply
    70,411.29x = 105,617.09 × 17,103.03
  4. Step 4: Simplify right side
    70,411.29x = 1,806,372,301.54
  5. Step 5: Solve for x
    x = 1,806,372,301.54/70,411.29
  6. Step 6: Final answer
    x = 25,654.58

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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.