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Finding the Fourth Proportional to 61,980, 92,984.58 and 20,427

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Solution

The fourth proportional to 61,980, 92,984.58 and 20,427 is: 30,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,980 : 92,984.58 = 20,427 : x
  2. Step 2: Convert to fraction form
    61,980/92,984.58 = 20,427/x
  3. Step 3: Cross multiply
    61,980x = 92,984.58 × 20,427
  4. Step 4: Simplify right side
    61,980x = 1,899,396,015.66
  5. Step 5: Solve for x
    x = 1,899,396,015.66/61,980
  6. Step 6: Final answer
    x = 30,645.31

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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.