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Finding the Fourth Proportional to 209,124, 288,592.47 and 113,630.67

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Solution

The fourth proportional to 209,124, 288,592.47 and 113,630.67 is: 156,811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,124 : 288,592.47 = 113,630.67 : x
  2. Step 2: Convert to fraction form
    209,124/288,592.47 = 113,630.67/x
  3. Step 3: Cross multiply
    209,124x = 288,592.47 × 113,630.67
  4. Step 4: Simplify right side
    209,124x = 32,792,955,723.05
  5. Step 5: Solve for x
    x = 32,792,955,723.05/209,124
  6. Step 6: Final answer
    x = 156,811.06

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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.