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Finding the Fourth Proportional to 70,740, 106,122.42 and 28,618.38

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Solution

The fourth proportional to 70,740, 106,122.42 and 28,618.38 is: 42,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,740 : 106,122.42 = 28,618.38 : x
  2. Step 2: Convert to fraction form
    70,740/106,122.42 = 28,618.38/x
  3. Step 3: Cross multiply
    70,740x = 106,122.42 × 28,618.38
  4. Step 4: Simplify right side
    70,740x = 3,037,051,742.08
  5. Step 5: Solve for x
    x = 3,037,051,742.08/70,740
  6. Step 6: Final answer
    x = 42,932.59

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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.