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Finding the Fourth Proportional to 70,425.50, 97,163.06 and 40,189

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Solution

The fourth proportional to 70,425.50, 97,163.06 and 40,189 is: 55,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,425.50 : 97,163.06 = 40,189 : x
  2. Step 2: Convert to fraction form
    70,425.50/97,163.06 = 40,189/x
  3. Step 3: Cross multiply
    70,425.50x = 97,163.06 × 40,189
  4. Step 4: Simplify right side
    70,425.50x = 3,904,886,218.34
  5. Step 5: Solve for x
    x = 3,904,886,218.34/70,425.50
  6. Step 6: Final answer
    x = 55,447.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.