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Finding the Fourth Proportional to 70,121.98, 105,221.24 and 40,597.48

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Solution

The fourth proportional to 70,121.98, 105,221.24 and 40,597.48 is: 60,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,121.98 : 105,221.24 = 40,597.48 : x
  2. Step 2: Convert to fraction form
    70,121.98/105,221.24 = 40,597.48/x
  3. Step 3: Cross multiply
    70,121.98x = 105,221.24 × 40,597.48
  4. Step 4: Simplify right side
    70,121.98x = 4,271,717,186.48
  5. Step 5: Solve for x
    x = 4,271,717,186.48/70,121.98
  6. Step 6: Final answer
    x = 60,918.38

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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.