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Finding the Fourth Proportional to 209,367.61, 288,924.60 and 113,874.31

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Solution

The fourth proportional to 209,367.61, 288,924.60 and 113,874.31 is: 157,145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,367.61 : 288,924.60 = 113,874.31 : x
  2. Step 2: Convert to fraction form
    209,367.61/288,924.60 = 113,874.31/x
  3. Step 3: Cross multiply
    209,367.61x = 288,924.60 × 113,874.31
  4. Step 4: Simplify right side
    209,367.61x = 32,901,088,022.40
  5. Step 5: Solve for x
    x = 32,901,088,022.40/209,367.61
  6. Step 6: Final answer
    x = 157,145.08

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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.