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Finding the Fourth Proportional to 210,698.30, 315,744.30 and 90,722.31

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Solution

The fourth proportional to 210,698.30, 315,744.30 and 90,722.31 is: 135,952.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,698.30 : 315,744.30 = 90,722.31 : x
  2. Step 2: Convert to fraction form
    210,698.30/315,744.30 = 90,722.31/x
  3. Step 3: Cross multiply
    210,698.30x = 315,744.30 × 90,722.31
  4. Step 4: Simplify right side
    210,698.30x = 28,645,052,265.33
  5. Step 5: Solve for x
    x = 28,645,052,265.33/210,698.30
  6. Step 6: Final answer
    x = 135,952.94

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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.