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Finding the Fourth Proportional to 213,898.14, 320,739.21 and 125,178.30

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Solution

The fourth proportional to 213,898.14, 320,739.21 and 125,178.30 is: 187,704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,898.14 : 320,739.21 = 125,178.30 : x
  2. Step 2: Convert to fraction form
    213,898.14/320,739.21 = 125,178.30/x
  3. Step 3: Cross multiply
    213,898.14x = 320,739.21 × 125,178.30
  4. Step 4: Simplify right side
    213,898.14x = 40,149,589,051.14
  5. Step 5: Solve for x
    x = 40,149,589,051.14/213,898.14
  6. Step 6: Final answer
    x = 187,704.25

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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.