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Finding the Fourth Proportional to 188,542.64, 260,188.20 and 103,659.44

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Solution

The fourth proportional to 188,542.64, 260,188.20 and 103,659.44 is: 143,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,542.64 : 260,188.20 = 103,659.44 : x
  2. Step 2: Convert to fraction form
    188,542.64/260,188.20 = 103,659.44/x
  3. Step 3: Cross multiply
    188,542.64x = 260,188.20 × 103,659.44
  4. Step 4: Simplify right side
    188,542.64x = 26,970,963,106.61
  5. Step 5: Solve for x
    x = 26,970,963,106.61/188,542.64
  6. Step 6: Final answer
    x = 143,049.67

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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.