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Finding the Fourth Proportional to 199,238.64, 298,929 and 99,390

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Solution

The fourth proportional to 199,238.64, 298,929 and 99,390 is: 149,120.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,238.64 : 298,929 = 99,390 : x
  2. Step 2: Convert to fraction form
    199,238.64/298,929 = 99,390/x
  3. Step 3: Cross multiply
    199,238.64x = 298,929 × 99,390
  4. Step 4: Simplify right side
    199,238.64x = 29,710,553,310
  5. Step 5: Solve for x
    x = 29,710,553,310/199,238.64
  6. Step 6: Final answer
    x = 149,120.44

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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.