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Finding the Fourth Proportional to 61,235.88, 91,853.78 and 31,638.44

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Solution

The fourth proportional to 61,235.88, 91,853.78 and 31,638.44 is: 47,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,235.88 : 91,853.78 = 31,638.44 : x
  2. Step 2: Convert to fraction form
    61,235.88/91,853.78 = 31,638.44/x
  3. Step 3: Cross multiply
    61,235.88x = 91,853.78 × 31,638.44
  4. Step 4: Simplify right side
    61,235.88x = 2,906,110,307.30
  5. Step 5: Solve for x
    x = 2,906,110,307.30/61,235.88
  6. Step 6: Final answer
    x = 47,457.64

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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.