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Finding the Fourth Proportional to 209,199.65, 288,693.79 and 113,706.05

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Solution

The fourth proportional to 209,199.65, 288,693.79 and 113,706.05 is: 156,913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,199.65 : 288,693.79 = 113,706.05 : x
  2. Step 2: Convert to fraction form
    209,199.65/288,693.79 = 113,706.05/x
  3. Step 3: Cross multiply
    209,199.65x = 288,693.79 × 113,706.05
  4. Step 4: Simplify right side
    209,199.65x = 32,826,228,792.70
  5. Step 5: Solve for x
    x = 32,826,228,792.70/209,199.65
  6. Step 6: Final answer
    x = 156,913.41

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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.