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Finding the Fourth Proportional to 209,100.33, 313,656.65 and 51,328.79

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Solution

The fourth proportional to 209,100.33, 313,656.65 and 51,328.79 is: 76,994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,100.33 : 313,656.65 = 51,328.79 : x
  2. Step 2: Convert to fraction form
    209,100.33/313,656.65 = 51,328.79/x
  3. Step 3: Cross multiply
    209,100.33x = 313,656.65 × 51,328.79
  4. Step 4: Simplify right side
    209,100.33x = 16,099,614,495.03
  5. Step 5: Solve for x
    x = 16,099,614,495.03/209,100.33
  6. Step 6: Final answer
    x = 76,994.69

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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.