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Finding the Fourth Proportional to 209,506.76, 289,125.89 and 118,866.55

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Solution

The fourth proportional to 209,506.76, 289,125.89 and 118,866.55 is: 164,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,506.76 : 289,125.89 = 118,866.55 : x
  2. Step 2: Convert to fraction form
    209,506.76/289,125.89 = 118,866.55/x
  3. Step 3: Cross multiply
    209,506.76x = 289,125.89 × 118,866.55
  4. Step 4: Simplify right side
    209,506.76x = 34,367,396,188.58
  5. Step 5: Solve for x
    x = 34,367,396,188.58/209,506.76
  6. Step 6: Final answer
    x = 164,039.56

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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.