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Finding the Fourth Proportional to 230,152.94, 345,221.25 and 70,222.42

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Solution

The fourth proportional to 230,152.94, 345,221.25 and 70,222.42 is: 105,331.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,152.94 : 345,221.25 = 70,222.42 : x
  2. Step 2: Convert to fraction form
    230,152.94/345,221.25 = 70,222.42/x
  3. Step 3: Cross multiply
    230,152.94x = 345,221.25 × 70,222.42
  4. Step 4: Simplify right side
    230,152.94x = 24,242,270,747.37
  5. Step 5: Solve for x
    x = 24,242,270,747.37/230,152.94
  6. Step 6: Final answer
    x = 105,331.14

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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.