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Finding the Fourth Proportional to 209,406.48, 313,928.28 and 84,666.48

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Solution

The fourth proportional to 209,406.48, 313,928.28 and 84,666.48 is: 126,926.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,406.48 : 313,928.28 = 84,666.48 : x
  2. Step 2: Convert to fraction form
    209,406.48/313,928.28 = 84,666.48/x
  3. Step 3: Cross multiply
    209,406.48x = 313,928.28 × 84,666.48
  4. Step 4: Simplify right side
    209,406.48x = 26,579,202,440.05
  5. Step 5: Solve for x
    x = 26,579,202,440.05/209,406.48
  6. Step 6: Final answer
    x = 126,926.36

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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.