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Finding the Fourth Proportional to 70,074.24, 105,111.36 and 34,978.56

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Solution

The fourth proportional to 70,074.24, 105,111.36 and 34,978.56 is: 52,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,074.24 : 105,111.36 = 34,978.56 : x
  2. Step 2: Convert to fraction form
    70,074.24/105,111.36 = 34,978.56/x
  3. Step 3: Cross multiply
    70,074.24x = 105,111.36 × 34,978.56
  4. Step 4: Simplify right side
    70,074.24x = 3,676,644,012.44
  5. Step 5: Solve for x
    x = 3,676,644,012.44/70,074.24
  6. Step 6: Final answer
    x = 52,467.84

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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.