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Finding the Fourth Proportional to 61,399, 92,098.50 and 19,846

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Solution

The fourth proportional to 61,399, 92,098.50 and 19,846 is: 29,769

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,399 : 92,098.50 = 19,846 : x
  2. Step 2: Convert to fraction form
    61,399/92,098.50 = 19,846/x
  3. Step 3: Cross multiply
    61,399x = 92,098.50 × 19,846
  4. Step 4: Simplify right side
    61,399x = 1,827,786,831
  5. Step 5: Solve for x
    x = 1,827,786,831/61,399
  6. Step 6: Final answer
    x = 29,769

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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.