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Finding the Fourth Proportional to 61,973, 92,974.08 and 20,420

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Solution

The fourth proportional to 61,973, 92,974.08 and 20,420 is: 30,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,973 : 92,974.08 = 20,420 : x
  2. Step 2: Convert to fraction form
    61,973/92,974.08 = 20,420/x
  3. Step 3: Cross multiply
    61,973x = 92,974.08 × 20,420
  4. Step 4: Simplify right side
    61,973x = 1,898,530,713.60
  5. Step 5: Solve for x
    x = 1,898,530,713.60/61,973
  6. Step 6: Final answer
    x = 30,634.80

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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.