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Finding the Fourth Proportional to 142,469.80, 213,723.90 and 49,004.20

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Solution

The fourth proportional to 142,469.80, 213,723.90 and 49,004.20 is: 73,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,469.80 : 213,723.90 = 49,004.20 : x
  2. Step 2: Convert to fraction form
    142,469.80/213,723.90 = 49,004.20/x
  3. Step 3: Cross multiply
    142,469.80x = 213,723.90 × 49,004.20
  4. Step 4: Simplify right side
    142,469.80x = 10,473,368,740.38
  5. Step 5: Solve for x
    x = 10,473,368,740.38/142,469.80
  6. Step 6: Final answer
    x = 73,512.90

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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.