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Finding the Fourth Proportional to 213,231.91, 319,846.23 and 86,842.42

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Solution

The fourth proportional to 213,231.91, 319,846.23 and 86,842.42 is: 130,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,231.91 : 319,846.23 = 86,842.42 : x
  2. Step 2: Convert to fraction form
    213,231.91/319,846.23 = 86,842.42/x
  3. Step 3: Cross multiply
    213,231.91x = 319,846.23 × 86,842.42
  4. Step 4: Simplify right side
    213,231.91x = 27,776,220,641.08
  5. Step 5: Solve for x
    x = 27,776,220,641.08/213,231.91
  6. Step 6: Final answer
    x = 130,262.96

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1.5x scale

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.