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Finding the Fourth Proportional to 201,231.56, 277,357.02 and 137,458.64

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Solution

The fourth proportional to 201,231.56, 277,357.02 and 137,458.64 is: 189,458.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,231.56 : 277,357.02 = 137,458.64 : x
  2. Step 2: Convert to fraction form
    201,231.56/277,357.02 = 137,458.64/x
  3. Step 3: Cross multiply
    201,231.56x = 277,357.02 × 137,458.64
  4. Step 4: Simplify right side
    201,231.56x = 38,125,118,763.65
  5. Step 5: Solve for x
    x = 38,125,118,763.65/201,231.56
  6. Step 6: Final answer
    x = 189,458.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.