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Finding the Fourth Proportional to 33,124.40, 49,686.60 and 31,828.40

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Solution

The fourth proportional to 33,124.40, 49,686.60 and 31,828.40 is: 47,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,124.40 : 49,686.60 = 31,828.40 : x
  2. Step 2: Convert to fraction form
    33,124.40/49,686.60 = 31,828.40/x
  3. Step 3: Cross multiply
    33,124.40x = 49,686.60 × 31,828.40
  4. Step 4: Simplify right side
    33,124.40x = 1,581,444,979.44
  5. Step 5: Solve for x
    x = 1,581,444,979.44/33,124.40
  6. Step 6: Final answer
    x = 47,742.60

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