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Finding the Fourth Proportional to 67,004.80, 100,420.80 and 31,868.80

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Solution

The fourth proportional to 67,004.80, 100,420.80 and 31,868.80 is: 47,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,004.80 : 100,420.80 = 31,868.80 : x
  2. Step 2: Convert to fraction form
    67,004.80/100,420.80 = 31,868.80/x
  3. Step 3: Cross multiply
    67,004.80x = 100,420.80 × 31,868.80
  4. Step 4: Simplify right side
    67,004.80x = 3,200,290,391.04
  5. Step 5: Solve for x
    x = 3,200,290,391.04/67,004.80
  6. Step 6: Final answer
    x = 47,762.11

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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.