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Finding the Fourth Proportional to 148,777, 205,313.88 and 81,709

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Solution

The fourth proportional to 148,777, 205,313.88 and 81,709 is: 112,759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,777 : 205,313.88 = 81,709 : x
  2. Step 2: Convert to fraction form
    148,777/205,313.88 = 81,709/x
  3. Step 3: Cross multiply
    148,777x = 205,313.88 × 81,709
  4. Step 4: Simplify right side
    148,777x = 16,775,991,820.92
  5. Step 5: Solve for x
    x = 16,775,991,820.92/148,777
  6. Step 6: Final answer
    x = 112,759.31

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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.