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Finding the Fourth Proportional to 209,064.97, 288,509.57 and 113,571.67

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Solution

The fourth proportional to 209,064.97, 288,509.57 and 113,571.67 is: 156,728.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,064.97 : 288,509.57 = 113,571.67 : x
  2. Step 2: Convert to fraction form
    209,064.97/288,509.57 = 113,571.67/x
  3. Step 3: Cross multiply
    209,064.97x = 288,509.57 × 113,571.67
  4. Step 4: Simplify right side
    209,064.97x = 32,766,513,673.02
  5. Step 5: Solve for x
    x = 32,766,513,673.02/209,064.97
  6. Step 6: Final answer
    x = 156,728.85

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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.