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Finding the Fourth Proportional to 70,223.94, 105,320.48 and 20,293.18

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Solution

The fourth proportional to 70,223.94, 105,320.48 and 20,293.18 is: 30,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,223.94 : 105,320.48 = 20,293.18 : x
  2. Step 2: Convert to fraction form
    70,223.94/105,320.48 = 20,293.18/x
  3. Step 3: Cross multiply
    70,223.94x = 105,320.48 × 20,293.18
  4. Step 4: Simplify right side
    70,223.94x = 2,137,287,458.33
  5. Step 5: Solve for x
    x = 2,137,287,458.33/70,223.94
  6. Step 6: Final answer
    x = 30,435.31

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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.