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Finding the Fourth Proportional to 209,412.90, 288,986.40 and 113,922

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Solution

The fourth proportional to 209,412.90, 288,986.40 and 113,922 is: 157,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,412.90 : 288,986.40 = 113,922 : x
  2. Step 2: Convert to fraction form
    209,412.90/288,986.40 = 113,922/x
  3. Step 3: Cross multiply
    209,412.90x = 288,986.40 × 113,922
  4. Step 4: Simplify right side
    209,412.90x = 32,921,908,660.80
  5. Step 5: Solve for x
    x = 32,921,908,660.80/209,412.90
  6. Step 6: Final answer
    x = 157,210.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.