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Finding the Fourth Proportional to 61,531, 92,311.86 and 17,755

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Solution

The fourth proportional to 61,531, 92,311.86 and 17,755 is: 26,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,531 : 92,311.86 = 17,755 : x
  2. Step 2: Convert to fraction form
    61,531/92,311.86 = 17,755/x
  3. Step 3: Cross multiply
    61,531x = 92,311.86 × 17,755
  4. Step 4: Simplify right side
    61,531x = 1,638,997,074.30
  5. Step 5: Solve for x
    x = 1,638,997,074.30/61,531
  6. Step 6: Final answer
    x = 26,636.93

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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.