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Finding the Fourth Proportional to 70,129.31, 105,193.97 and 17,538.80

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Solution

The fourth proportional to 70,129.31, 105,193.97 and 17,538.80 is: 26,308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,129.31 : 105,193.97 = 17,538.80 : x
  2. Step 2: Convert to fraction form
    70,129.31/105,193.97 = 17,538.80/x
  3. Step 3: Cross multiply
    70,129.31x = 105,193.97 × 17,538.80
  4. Step 4: Simplify right side
    70,129.31x = 1,844,975,387.37
  5. Step 5: Solve for x
    x = 1,844,975,387.37/70,129.31
  6. Step 6: Final answer
    x = 26,308.19

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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.