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Finding the Fourth Proportional to 213,059.79, 319,711.79 and 86,676.71

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Solution

The fourth proportional to 213,059.79, 319,711.79 and 86,676.71 is: 130,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,059.79 : 319,711.79 = 86,676.71 : x
  2. Step 2: Convert to fraction form
    213,059.79/319,711.79 = 86,676.71/x
  3. Step 3: Cross multiply
    213,059.79x = 319,711.79 × 86,676.71
  4. Step 4: Simplify right side
    213,059.79x = 27,711,564,723.54
  5. Step 5: Solve for x
    x = 27,711,564,723.54/213,059.79
  6. Step 6: Final answer
    x = 130,064.73

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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.