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Finding the Fourth Proportional to 70,074.64, 105,175 and 47,530.80

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Solution

The fourth proportional to 70,074.64, 105,175 and 47,530.80 is: 71,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,074.64 : 105,175 = 47,530.80 : x
  2. Step 2: Convert to fraction form
    70,074.64/105,175 = 47,530.80/x
  3. Step 3: Cross multiply
    70,074.64x = 105,175 × 47,530.80
  4. Step 4: Simplify right side
    70,074.64x = 4,999,051,890
  5. Step 5: Solve for x
    x = 4,999,051,890/70,074.64
  6. Step 6: Final answer
    x = 71,338.96

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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.