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Finding the Fourth Proportional to 213,610.94, 294,911 and 133,147.44

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Solution

The fourth proportional to 213,610.94, 294,911 and 133,147.44 is: 183,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,610.94 : 294,911 = 133,147.44 : x
  2. Step 2: Convert to fraction form
    213,610.94/294,911 = 133,147.44/x
  3. Step 3: Cross multiply
    213,610.94x = 294,911 × 133,147.44
  4. Step 4: Simplify right side
    213,610.94x = 39,266,644,677.84
  5. Step 5: Solve for x
    x = 39,266,644,677.84/213,610.94
  6. Step 6: Final answer
    x = 183,823.19

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1.5x scale

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.