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Finding the Fourth Proportional to 61,984, 92,990.58 and 20,431

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Solution

The fourth proportional to 61,984, 92,990.58 and 20,431 is: 30,651.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,984 : 92,990.58 = 20,431 : x
  2. Step 2: Convert to fraction form
    61,984/92,990.58 = 20,431/x
  3. Step 3: Cross multiply
    61,984x = 92,990.58 × 20,431
  4. Step 4: Simplify right side
    61,984x = 1,899,890,539.98
  5. Step 5: Solve for x
    x = 1,899,890,539.98/61,984
  6. Step 6: Final answer
    x = 30,651.31

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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.