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Finding the Fourth Proportional to 61,971, 92,971.08 and 20,418

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Solution

The fourth proportional to 61,971, 92,971.08 and 20,418 is: 30,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,971 : 92,971.08 = 20,418 : x
  2. Step 2: Convert to fraction form
    61,971/92,971.08 = 20,418/x
  3. Step 3: Cross multiply
    61,971x = 92,971.08 × 20,418
  4. Step 4: Simplify right side
    61,971x = 1,898,283,511.44
  5. Step 5: Solve for x
    x = 1,898,283,511.44/61,971
  6. Step 6: Final answer
    x = 30,631.80

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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.