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Finding the Fourth Proportional to 148,739.50, 205,260.51 and 81,671.50

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Solution

The fourth proportional to 148,739.50, 205,260.51 and 81,671.50 is: 112,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,739.50 : 205,260.51 = 81,671.50 : x
  2. Step 2: Convert to fraction form
    148,739.50/205,260.51 = 81,671.50/x
  3. Step 3: Cross multiply
    148,739.50x = 205,260.51 × 81,671.50
  4. Step 4: Simplify right side
    148,739.50x = 16,763,933,742.47
  5. Step 5: Solve for x
    x = 16,763,933,742.47/148,739.50
  6. Step 6: Final answer
    x = 112,706.67

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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.