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Finding the Fourth Proportional to 61,328, 92,014.20 and 30,185.12

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Solution

The fourth proportional to 61,328, 92,014.20 and 30,185.12 is: 45,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,328 : 92,014.20 = 30,185.12 : x
  2. Step 2: Convert to fraction form
    61,328/92,014.20 = 30,185.12/x
  3. Step 3: Cross multiply
    61,328x = 92,014.20 × 30,185.12
  4. Step 4: Simplify right side
    61,328x = 2,777,459,668.70
  5. Step 5: Solve for x
    x = 2,777,459,668.70/61,328
  6. Step 6: Final answer
    x = 45,288.61

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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.