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Finding the Fourth Proportional to 70,219.94, 105,314.49 and 20,289.17

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Solution

The fourth proportional to 70,219.94, 105,314.49 and 20,289.17 is: 30,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,219.94 : 105,314.49 = 20,289.17 : x
  2. Step 2: Convert to fraction form
    70,219.94/105,314.49 = 20,289.17/x
  3. Step 3: Cross multiply
    70,219.94x = 105,314.49 × 20,289.17
  4. Step 4: Simplify right side
    70,219.94x = 2,136,743,734.79
  5. Step 5: Solve for x
    x = 2,136,743,734.79/70,219.94
  6. Step 6: Final answer
    x = 30,429.30

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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.