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Finding the Fourth Proportional to 213,406.62, 320,103 and 63,648.15

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Solution

The fourth proportional to 213,406.62, 320,103 and 63,648.15 is: 95,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,406.62 : 320,103 = 63,648.15 : x
  2. Step 2: Convert to fraction form
    213,406.62/320,103 = 63,648.15/x
  3. Step 3: Cross multiply
    213,406.62x = 320,103 × 63,648.15
  4. Step 4: Simplify right side
    213,406.62x = 20,373,963,759.45
  5. Step 5: Solve for x
    x = 20,373,963,759.45/213,406.62
  6. Step 6: Final answer
    x = 95,470.16

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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.