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Finding the Fourth Proportional to 209,164.63, 288,649.44 and 113,671.34

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Solution

The fourth proportional to 209,164.63, 288,649.44 and 113,671.34 is: 156,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,164.63 : 288,649.44 = 113,671.34 : x
  2. Step 2: Convert to fraction form
    209,164.63/288,649.44 = 113,671.34/x
  3. Step 3: Cross multiply
    209,164.63x = 288,649.44 × 113,671.34
  4. Step 4: Simplify right side
    209,164.63x = 32,811,168,635.05
  5. Step 5: Solve for x
    x = 32,811,168,635.05/209,164.63
  6. Step 6: Final answer
    x = 156,867.67

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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.