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Finding the Fourth Proportional to 189,669, 284,540.34 and 56,546.28

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Solution

The fourth proportional to 189,669, 284,540.34 and 56,546.28 is: 84,830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,669 : 284,540.34 = 56,546.28 : x
  2. Step 2: Convert to fraction form
    189,669/284,540.34 = 56,546.28/x
  3. Step 3: Cross multiply
    189,669x = 284,540.34 × 56,546.28
  4. Step 4: Simplify right side
    189,669x = 16,089,697,736.94
  5. Step 5: Solve for x
    x = 16,089,697,736.94/189,669
  6. Step 6: Final answer
    x = 84,830.40

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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.