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Finding the Fourth Proportional to 45,405, 68,109.30 and 15,825.81

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Solution

The fourth proportional to 45,405, 68,109.30 and 15,825.81 is: 23,739.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,405 : 68,109.30 = 15,825.81 : x
  2. Step 2: Convert to fraction form
    45,405/68,109.30 = 15,825.81/x
  3. Step 3: Cross multiply
    45,405x = 68,109.30 × 15,825.81
  4. Step 4: Simplify right side
    45,405x = 1,077,884,841.03
  5. Step 5: Solve for x
    x = 1,077,884,841.03/45,405
  6. Step 6: Final answer
    x = 23,739.34

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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.