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Finding the Fourth Proportional to 61,501, 92,251.50 and 19,948

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Solution

The fourth proportional to 61,501, 92,251.50 and 19,948 is: 29,922

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,501 : 92,251.50 = 19,948 : x
  2. Step 2: Convert to fraction form
    61,501/92,251.50 = 19,948/x
  3. Step 3: Cross multiply
    61,501x = 92,251.50 × 19,948
  4. Step 4: Simplify right side
    61,501x = 1,840,232,922
  5. Step 5: Solve for x
    x = 1,840,232,922/61,501
  6. Step 6: Final answer
    x = 29,922

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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.