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Finding the Fourth Proportional to 213,087.72, 319,601.40 and 86,783.04

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Solution

The fourth proportional to 213,087.72, 319,601.40 and 86,783.04 is: 130,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,087.72 : 319,601.40 = 86,783.04 : x
  2. Step 2: Convert to fraction form
    213,087.72/319,601.40 = 86,783.04/x
  3. Step 3: Cross multiply
    213,087.72x = 319,601.40 × 86,783.04
  4. Step 4: Simplify right side
    213,087.72x = 27,735,981,080.26
  5. Step 5: Solve for x
    x = 27,735,981,080.26/213,087.72
  6. Step 6: Final answer
    x = 130,162.27

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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.