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Finding the Fourth Proportional to 189,840.80, 284,804.40 and 110,914.40

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Solution

The fourth proportional to 189,840.80, 284,804.40 and 110,914.40 is: 166,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,840.80 : 284,804.40 = 110,914.40 : x
  2. Step 2: Convert to fraction form
    189,840.80/284,804.40 = 110,914.40/x
  3. Step 3: Cross multiply
    189,840.80x = 284,804.40 × 110,914.40
  4. Step 4: Simplify right side
    189,840.80x = 31,588,909,143.36
  5. Step 5: Solve for x
    x = 31,588,909,143.36/189,840.80
  6. Step 6: Final answer
    x = 166,396.84

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1.5x scale

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.