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Finding the Fourth Proportional to 189,712.80, 284,374.80 and 110,786.40

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Solution

The fourth proportional to 189,712.80, 284,374.80 and 110,786.40 is: 166,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,712.80 : 284,374.80 = 110,786.40 : x
  2. Step 2: Convert to fraction form
    189,712.80/284,374.80 = 110,786.40/x
  3. Step 3: Cross multiply
    189,712.80x = 284,374.80 × 110,786.40
  4. Step 4: Simplify right side
    189,712.80x = 31,504,860,342.72
  5. Step 5: Solve for x
    x = 31,504,860,342.72/189,712.80
  6. Step 6: Final answer
    x = 166,066.08

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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.