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Finding the Fourth Proportional to 70,113.75, 105,170.63 and 20,865.75

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Solution

The fourth proportional to 70,113.75, 105,170.63 and 20,865.75 is: 31,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,113.75 : 105,170.63 = 20,865.75 : x
  2. Step 2: Convert to fraction form
    70,113.75/105,170.63 = 20,865.75/x
  3. Step 3: Cross multiply
    70,113.75x = 105,170.63 × 20,865.75
  4. Step 4: Simplify right side
    70,113.75x = 2,194,463,968.59
  5. Step 5: Solve for x
    x = 2,194,463,968.59/70,113.75
  6. Step 6: Final answer
    x = 31,298.63

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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.