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Finding the Fourth Proportional to 148,970.26, 205,583.01 and 80,991.81

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Solution

The fourth proportional to 148,970.26, 205,583.01 and 80,991.81 is: 111,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,970.26 : 205,583.01 = 80,991.81 : x
  2. Step 2: Convert to fraction form
    148,970.26/205,583.01 = 80,991.81/x
  3. Step 3: Cross multiply
    148,970.26x = 205,583.01 × 80,991.81
  4. Step 4: Simplify right side
    148,970.26x = 16,650,539,225.15
  5. Step 5: Solve for x
    x = 16,650,539,225.15/148,970.26
  6. Step 6: Final answer
    x = 111,770.90

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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.