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Finding the Fourth Proportional to 210,699.30, 315,745.80 and 90,723.31

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Solution

The fourth proportional to 210,699.30, 315,745.80 and 90,723.31 is: 135,954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,699.30 : 315,745.80 = 90,723.31 : x
  2. Step 2: Convert to fraction form
    210,699.30/315,745.80 = 90,723.31/x
  3. Step 3: Cross multiply
    210,699.30x = 315,745.80 × 90,723.31
  4. Step 4: Simplify right side
    210,699.30x = 28,645,504,094.60
  5. Step 5: Solve for x
    x = 28,645,504,094.60/210,699.30
  6. Step 6: Final answer
    x = 135,954.43

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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.