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Finding the Fourth Proportional to 213,203.96, 319,747.56 and 80,073.92

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Solution

The fourth proportional to 213,203.96, 319,747.56 and 80,073.92 is: 120,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,203.96 : 319,747.56 = 80,073.92 : x
  2. Step 2: Convert to fraction form
    213,203.96/319,747.56 = 80,073.92/x
  3. Step 3: Cross multiply
    213,203.96x = 319,747.56 × 80,073.92
  4. Step 4: Simplify right side
    213,203.96x = 25,603,440,539.64
  5. Step 5: Solve for x
    x = 25,603,440,539.64/213,203.96
  6. Step 6: Final answer
    x = 120,088.95

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1.5x scale

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.