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Finding the Fourth Proportional to 105,818.40, 158,804.28 and 39,268

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Solution

The fourth proportional to 105,818.40, 158,804.28 and 39,268 is: 58,930.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,818.40 : 158,804.28 = 39,268 : x
  2. Step 2: Convert to fraction form
    105,818.40/158,804.28 = 39,268/x
  3. Step 3: Cross multiply
    105,818.40x = 158,804.28 × 39,268
  4. Step 4: Simplify right side
    105,818.40x = 6,235,926,467.04
  5. Step 5: Solve for x
    x = 6,235,926,467.04/105,818.40
  6. Step 6: Final answer
    x = 58,930.46

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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.