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Finding the Fourth Proportional to 200,721.20, 301,081.80 and 52,977.20

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Solution

The fourth proportional to 200,721.20, 301,081.80 and 52,977.20 is: 79,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,721.20 : 301,081.80 = 52,977.20 : x
  2. Step 2: Convert to fraction form
    200,721.20/301,081.80 = 52,977.20/x
  3. Step 3: Cross multiply
    200,721.20x = 301,081.80 × 52,977.20
  4. Step 4: Simplify right side
    200,721.20x = 15,950,470,734.96
  5. Step 5: Solve for x
    x = 15,950,470,734.96/200,721.20
  6. Step 6: Final answer
    x = 79,465.80

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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.