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Finding the Fourth Proportional to 213,208.96, 319,755.04 and 80,078.92

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Solution

The fourth proportional to 213,208.96, 319,755.04 and 80,078.92 is: 120,096.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,208.96 : 319,755.04 = 80,078.92 : x
  2. Step 2: Convert to fraction form
    213,208.96/319,755.04 = 80,078.92/x
  3. Step 3: Cross multiply
    213,208.96x = 319,755.04 × 80,078.92
  4. Step 4: Simplify right side
    213,208.96x = 25,605,638,267.76
  5. Step 5: Solve for x
    x = 25,605,638,267.76/213,208.96
  6. Step 6: Final answer
    x = 120,096.45

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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.