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Finding the Fourth Proportional to 188,749.60, 283,124.40 and 105,632.80

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Solution

The fourth proportional to 188,749.60, 283,124.40 and 105,632.80 is: 158,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,749.60 : 283,124.40 = 105,632.80 : x
  2. Step 2: Convert to fraction form
    188,749.60/283,124.40 = 105,632.80/x
  3. Step 3: Cross multiply
    188,749.60x = 283,124.40 × 105,632.80
  4. Step 4: Simplify right side
    188,749.60x = 29,907,223,120.32
  5. Step 5: Solve for x
    x = 29,907,223,120.32/188,749.60
  6. Step 6: Final answer
    x = 158,449.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.