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Finding the Fourth Proportional to 213,651.42, 320,376.15 and 63,839.40

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Solution

The fourth proportional to 213,651.42, 320,376.15 and 63,839.40 is: 95,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,651.42 : 320,376.15 = 63,839.40 : x
  2. Step 2: Convert to fraction form
    213,651.42/320,376.15 = 63,839.40/x
  3. Step 3: Cross multiply
    213,651.42x = 320,376.15 × 63,839.40
  4. Step 4: Simplify right side
    213,651.42x = 20,452,621,190.31
  5. Step 5: Solve for x
    x = 20,452,621,190.31/213,651.42
  6. Step 6: Final answer
    x = 95,728.93

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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.