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Finding the Fourth Proportional to 209,352.71, 288,898.44 and 113,859.38

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Solution

The fourth proportional to 209,352.71, 288,898.44 and 113,859.38 is: 157,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,352.71 : 288,898.44 = 113,859.38 : x
  2. Step 2: Convert to fraction form
    209,352.71/288,898.44 = 113,859.38/x
  3. Step 3: Cross multiply
    209,352.71x = 288,898.44 × 113,859.38
  4. Step 4: Simplify right side
    209,352.71x = 32,893,797,261.37
  5. Step 5: Solve for x
    x = 32,893,797,261.37/209,352.71
  6. Step 6: Final answer
    x = 157,121.43

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1.5x scale

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.