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Finding the Fourth Proportional to 142,467.80, 213,720.90 and 49,002.20

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Solution

The fourth proportional to 142,467.80, 213,720.90 and 49,002.20 is: 73,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,467.80 : 213,720.90 = 49,002.20 : x
  2. Step 2: Convert to fraction form
    142,467.80/213,720.90 = 49,002.20/x
  3. Step 3: Cross multiply
    142,467.80x = 213,720.90 × 49,002.20
  4. Step 4: Simplify right side
    142,467.80x = 10,472,794,285.98
  5. Step 5: Solve for x
    x = 10,472,794,285.98/142,467.80
  6. Step 6: Final answer
    x = 73,509.90

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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.