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Finding the Fourth Proportional to 76,412.64, 114,599.52 and 29,640

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Solution

The fourth proportional to 76,412.64, 114,599.52 and 29,640 is: 44,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,412.64 : 114,599.52 = 29,640 : x
  2. Step 2: Convert to fraction form
    76,412.64/114,599.52 = 29,640/x
  3. Step 3: Cross multiply
    76,412.64x = 114,599.52 × 29,640
  4. Step 4: Simplify right side
    76,412.64x = 3,396,729,772.80
  5. Step 5: Solve for x
    x = 3,396,729,772.80/76,412.64
  6. Step 6: Final answer
    x = 44,452.46

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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.