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Finding the Fourth Proportional to 67,190.77, 100,782.51 and 20,440

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Solution

The fourth proportional to 67,190.77, 100,782.51 and 20,440 is: 30,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,190.77 : 100,782.51 = 20,440 : x
  2. Step 2: Convert to fraction form
    67,190.77/100,782.51 = 20,440/x
  3. Step 3: Cross multiply
    67,190.77x = 100,782.51 × 20,440
  4. Step 4: Simplify right side
    67,190.77x = 2,059,994,504.40
  5. Step 5: Solve for x
    x = 2,059,994,504.40/67,190.77
  6. Step 6: Final answer
    x = 30,658.89

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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.