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Finding the Fourth Proportional to 188,470.44, 282,005.64 and 105,422.76

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Solution

The fourth proportional to 188,470.44, 282,005.64 and 105,422.76 is: 157,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,470.44 : 282,005.64 = 105,422.76 : x
  2. Step 2: Convert to fraction form
    188,470.44/282,005.64 = 105,422.76/x
  3. Step 3: Cross multiply
    188,470.44x = 282,005.64 × 105,422.76
  4. Step 4: Simplify right side
    188,470.44x = 29,729,812,904.37
  5. Step 5: Solve for x
    x = 29,729,812,904.37/188,470.44
  6. Step 6: Final answer
    x = 157,742.58

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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.