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Finding the Fourth Proportional to 105,865.50, 158,798.25 and 31,993.50

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Solution

The fourth proportional to 105,865.50, 158,798.25 and 31,993.50 is: 47,990.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,865.50 : 158,798.25 = 31,993.50 : x
  2. Step 2: Convert to fraction form
    105,865.50/158,798.25 = 31,993.50/x
  3. Step 3: Cross multiply
    105,865.50x = 158,798.25 × 31,993.50
  4. Step 4: Simplify right side
    105,865.50x = 5,080,511,811.38
  5. Step 5: Solve for x
    x = 5,080,511,811.38/105,865.50
  6. Step 6: Final answer
    x = 47,990.25

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1.5x scale

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.