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Finding the Fourth Proportional to 536,145.20, 804,160.20 and 142,161.20

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Solution

The fourth proportional to 536,145.20, 804,160.20 and 142,161.20 is: 213,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,145.20 : 804,160.20 = 142,161.20 : x
  2. Step 2: Convert to fraction form
    536,145.20/804,160.20 = 142,161.20/x
  3. Step 3: Cross multiply
    536,145.20x = 804,160.20 × 142,161.20
  4. Step 4: Simplify right side
    536,145.20x = 114,320,379,024.24
  5. Step 5: Solve for x
    x = 114,320,379,024.24/536,145.20
  6. Step 6: Final answer
    x = 213,226.53

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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.