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Finding the Fourth Proportional to 209,775.96, 289,480.76 and 119,119.94

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Solution

The fourth proportional to 209,775.96, 289,480.76 and 119,119.94 is: 164,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,775.96 : 289,480.76 = 119,119.94 : x
  2. Step 2: Convert to fraction form
    209,775.96/289,480.76 = 119,119.94/x
  3. Step 3: Cross multiply
    209,775.96x = 289,480.76 × 119,119.94
  4. Step 4: Simplify right side
    209,775.96x = 34,482,930,762.35
  5. Step 5: Solve for x
    x = 34,482,930,762.35/209,775.96
  6. Step 6: Final answer
    x = 164,379.80

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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.