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Finding the Fourth Proportional to 209,760.64, 313,917.12 and 129,765.76

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Solution

The fourth proportional to 209,760.64, 313,917.12 and 129,765.76 is: 194,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,760.64 : 313,917.12 = 129,765.76 : x
  2. Step 2: Convert to fraction form
    209,760.64/313,917.12 = 129,765.76/x
  3. Step 3: Cross multiply
    209,760.64x = 313,917.12 × 129,765.76
  4. Step 4: Simplify right side
    209,760.64x = 40,735,693,653.81
  5. Step 5: Solve for x
    x = 40,735,693,653.81/209,760.64
  6. Step 6: Final answer
    x = 194,200.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.