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Finding the Fourth Proportional to 105,295.19, 157,919.49 and 30,399.03

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Solution

The fourth proportional to 105,295.19, 157,919.49 and 30,399.03 is: 45,591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,295.19 : 157,919.49 = 30,399.03 : x
  2. Step 2: Convert to fraction form
    105,295.19/157,919.49 = 30,399.03/x
  3. Step 3: Cross multiply
    105,295.19x = 157,919.49 × 30,399.03
  4. Step 4: Simplify right side
    105,295.19x = 4,800,599,314.09
  5. Step 5: Solve for x
    x = 4,800,599,314.09/105,295.19
  6. Step 6: Final answer
    x = 45,591.82

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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.