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Finding the Fourth Proportional to 209,493.40, 289,103.58 and 114,002.68

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Solution

The fourth proportional to 209,493.40, 289,103.58 and 114,002.68 is: 157,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,493.40 : 289,103.58 = 114,002.68 : x
  2. Step 2: Convert to fraction form
    209,493.40/289,103.58 = 114,002.68/x
  3. Step 3: Cross multiply
    209,493.40x = 289,103.58 × 114,002.68
  4. Step 4: Simplify right side
    209,493.40x = 32,958,582,917.59
  5. Step 5: Solve for x
    x = 32,958,582,917.59/209,493.40
  6. Step 6: Final answer
    x = 157,325.16

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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.