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Finding the Fourth Proportional to 81,000, 121,554 and 31,121.28

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Solution

The fourth proportional to 81,000, 121,554 and 31,121.28 is: 46,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,000 : 121,554 = 31,121.28 : x
  2. Step 2: Convert to fraction form
    81,000/121,554 = 31,121.28/x
  3. Step 3: Cross multiply
    81,000x = 121,554 × 31,121.28
  4. Step 4: Simplify right side
    81,000x = 3,782,916,069.12
  5. Step 5: Solve for x
    x = 3,782,916,069.12/81,000
  6. Step 6: Final answer
    x = 46,702.67

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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.