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Finding the Fourth Proportional to 189,287.42, 283,970.30 and 76,967.64

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Solution

The fourth proportional to 189,287.42, 283,970.30 and 76,967.64 is: 115,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,287.42 : 283,970.30 = 76,967.64 : x
  2. Step 2: Convert to fraction form
    189,287.42/283,970.30 = 76,967.64/x
  3. Step 3: Cross multiply
    189,287.42x = 283,970.30 × 76,967.64
  4. Step 4: Simplify right side
    189,287.42x = 21,856,523,821.09
  5. Step 5: Solve for x
    x = 21,856,523,821.09/189,287.42
  6. Step 6: Final answer
    x = 115,467.39

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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.