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Finding the Fourth Proportional to 200,723, 301,104.66 and 52,979

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Solution

The fourth proportional to 200,723, 301,104.66 and 52,979 is: 79,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,723 : 301,104.66 = 52,979 : x
  2. Step 2: Convert to fraction form
    200,723/301,104.66 = 52,979/x
  3. Step 3: Cross multiply
    200,723x = 301,104.66 × 52,979
  4. Step 4: Simplify right side
    200,723x = 15,952,223,782.14
  5. Step 5: Solve for x
    x = 15,952,223,782.14/200,723
  6. Step 6: Final answer
    x = 79,473.82

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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.