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Finding the Fourth Proportional to 164,394.31, 227,020.88 and 155,438.44

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Solution

The fourth proportional to 164,394.31, 227,020.88 and 155,438.44 is: 214,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,394.31 : 227,020.88 = 155,438.44 : x
  2. Step 2: Convert to fraction form
    164,394.31/227,020.88 = 155,438.44/x
  3. Step 3: Cross multiply
    164,394.31x = 227,020.88 × 155,438.44
  4. Step 4: Simplify right side
    164,394.31x = 35,287,771,658.32
  5. Step 5: Solve for x
    x = 35,287,771,658.32/164,394.31
  6. Step 6: Final answer
    x = 214,653.24

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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.