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Finding the Fourth Proportional to 189,973.49, 284,585.72 and 154,474.88

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Solution

The fourth proportional to 189,973.49, 284,585.72 and 154,474.88 is: 231,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,973.49 : 284,585.72 = 154,474.88 : x
  2. Step 2: Convert to fraction form
    189,973.49/284,585.72 = 154,474.88/x
  3. Step 3: Cross multiply
    189,973.49x = 284,585.72 × 154,474.88
  4. Step 4: Simplify right side
    189,973.49x = 43,961,342,751.41
  5. Step 5: Solve for x
    x = 43,961,342,751.41/189,973.49
  6. Step 6: Final answer
    x = 231,407.78

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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.