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Finding the Fourth Proportional to 81,650, 122,495.48 and 23,282

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Solution

The fourth proportional to 81,650, 122,495.48 and 23,282 is: 34,928.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,650 : 122,495.48 = 23,282 : x
  2. Step 2: Convert to fraction form
    81,650/122,495.48 = 23,282/x
  3. Step 3: Cross multiply
    81,650x = 122,495.48 × 23,282
  4. Step 4: Simplify right side
    81,650x = 2,851,939,765.36
  5. Step 5: Solve for x
    x = 2,851,939,765.36/81,650
  6. Step 6: Final answer
    x = 34,928.84

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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.