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Finding the Fourth Proportional to 81,536, 122,307.60 and 22,370.32

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Solution

The fourth proportional to 81,536, 122,307.60 and 22,370.32 is: 33,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,536 : 122,307.60 = 22,370.32 : x
  2. Step 2: Convert to fraction form
    81,536/122,307.60 = 22,370.32/x
  3. Step 3: Cross multiply
    81,536x = 122,307.60 × 22,370.32
  4. Step 4: Simplify right side
    81,536x = 2,736,060,150.43
  5. Step 5: Solve for x
    x = 2,736,060,150.43/81,536
  6. Step 6: Final answer
    x = 33,556.47

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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.