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Finding the Fourth Proportional to 209,424.58, 314,135.42 and 84,763.78

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Solution

The fourth proportional to 209,424.58, 314,135.42 and 84,763.78 is: 127,145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,424.58 : 314,135.42 = 84,763.78 : x
  2. Step 2: Convert to fraction form
    209,424.58/314,135.42 = 84,763.78/x
  3. Step 3: Cross multiply
    209,424.58x = 314,135.42 × 84,763.78
  4. Step 4: Simplify right side
    209,424.58x = 26,627,305,631.09
  5. Step 5: Solve for x
    x = 26,627,305,631.09/209,424.58
  6. Step 6: Final answer
    x = 127,145.08

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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.