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Finding the Fourth Proportional to 209,788.26, 314,400.69 and 103,009.20

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Solution

The fourth proportional to 209,788.26, 314,400.69 and 103,009.20 is: 154,375.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,788.26 : 314,400.69 = 103,009.20 : x
  2. Step 2: Convert to fraction form
    209,788.26/314,400.69 = 103,009.20/x
  3. Step 3: Cross multiply
    209,788.26x = 314,400.69 × 103,009.20
  4. Step 4: Simplify right side
    209,788.26x = 32,386,163,556.35
  5. Step 5: Solve for x
    x = 32,386,163,556.35/209,788.26
  6. Step 6: Final answer
    x = 154,375.48

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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.