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Finding the Fourth Proportional to 148,967.75, 205,575.50 and 81,899.75

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Solution

The fourth proportional to 148,967.75, 205,575.50 and 81,899.75 is: 113,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,967.75 : 205,575.50 = 81,899.75 : x
  2. Step 2: Convert to fraction form
    148,967.75/205,575.50 = 81,899.75/x
  3. Step 3: Cross multiply
    148,967.75x = 205,575.50 × 81,899.75
  4. Step 4: Simplify right side
    148,967.75x = 16,836,582,056.13
  5. Step 5: Solve for x
    x = 16,836,582,056.13/148,967.75
  6. Step 6: Final answer
    x = 113,021.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.