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Finding the Fourth Proportional to 209,598.72, 289,221.12 and 118,965.12

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Solution

The fourth proportional to 209,598.72, 289,221.12 and 118,965.12 is: 164,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,598.72 : 289,221.12 = 118,965.12 : x
  2. Step 2: Convert to fraction form
    209,598.72/289,221.12 = 118,965.12/x
  3. Step 3: Cross multiply
    209,598.72x = 289,221.12 × 118,965.12
  4. Step 4: Simplify right side
    209,598.72x = 34,407,225,247.33
  5. Step 5: Solve for x
    x = 34,407,225,247.33/209,598.72
  6. Step 6: Final answer
    x = 164,157.61

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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.