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Finding the Fourth Proportional to 189,731.60, 284,290.20 and 119,485.20

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Solution

The fourth proportional to 189,731.60, 284,290.20 and 119,485.20 is: 179,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,731.60 : 284,290.20 = 119,485.20 : x
  2. Step 2: Convert to fraction form
    189,731.60/284,290.20 = 119,485.20/x
  3. Step 3: Cross multiply
    189,731.60x = 284,290.20 × 119,485.20
  4. Step 4: Simplify right side
    189,731.60x = 33,968,471,405.04
  5. Step 5: Solve for x
    x = 33,968,471,405.04/189,731.60
  6. Step 6: Final answer
    x = 179,034.34

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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.