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Finding the Fourth Proportional to 209,373.80, 288,921.62 and 113,878.44

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Solution

The fourth proportional to 209,373.80, 288,921.62 and 113,878.44 is: 157,144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,373.80 : 288,921.62 = 113,878.44 : x
  2. Step 2: Convert to fraction form
    209,373.80/288,921.62 = 113,878.44/x
  3. Step 3: Cross multiply
    209,373.80x = 288,921.62 × 113,878.44
  4. Step 4: Simplify right side
    209,373.80x = 32,901,942,798.48
  5. Step 5: Solve for x
    x = 32,901,942,798.48/209,373.80
  6. Step 6: Final answer
    x = 157,144.51

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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.