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Finding the Fourth Proportional to 209,216.98, 288,717.78 and 113,721.22

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Solution

The fourth proportional to 209,216.98, 288,717.78 and 113,721.22 is: 156,934.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,216.98 : 288,717.78 = 113,721.22 : x
  2. Step 2: Convert to fraction form
    209,216.98/288,717.78 = 113,721.22/x
  3. Step 3: Cross multiply
    209,216.98x = 288,717.78 × 113,721.22
  4. Step 4: Simplify right side
    209,216.98x = 32,833,338,177.29
  5. Step 5: Solve for x
    x = 32,833,338,177.29/209,216.98
  6. Step 6: Final answer
    x = 156,934.39

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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.