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Finding the Fourth Proportional to 213,718.60, 320,577.90 and 80,603.20

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Solution

The fourth proportional to 213,718.60, 320,577.90 and 80,603.20 is: 120,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,718.60 : 320,577.90 = 80,603.20 : x
  2. Step 2: Convert to fraction form
    213,718.60/320,577.90 = 80,603.20/x
  3. Step 3: Cross multiply
    213,718.60x = 320,577.90 × 80,603.20
  4. Step 4: Simplify right side
    213,718.60x = 25,839,604,589.28
  5. Step 5: Solve for x
    x = 25,839,604,589.28/213,718.60
  6. Step 6: Final answer
    x = 120,904.80

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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.