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Finding the Fourth Proportional to 199,990, 299,985 and 52,246

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Solution

The fourth proportional to 199,990, 299,985 and 52,246 is: 78,369

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,990 : 299,985 = 52,246 : x
  2. Step 2: Convert to fraction form
    199,990/299,985 = 52,246/x
  3. Step 3: Cross multiply
    199,990x = 299,985 × 52,246
  4. Step 4: Simplify right side
    199,990x = 15,673,016,310
  5. Step 5: Solve for x
    x = 15,673,016,310/199,990
  6. Step 6: Final answer
    x = 78,369

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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.