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Finding the Fourth Proportional to 209,093.76, 288,485.82 and 118,435.32

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Solution

The fourth proportional to 209,093.76, 288,485.82 and 118,435.32 is: 163,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,093.76 : 288,485.82 = 118,435.32 : x
  2. Step 2: Convert to fraction form
    209,093.76/288,485.82 = 118,435.32/x
  3. Step 3: Cross multiply
    209,093.76x = 288,485.82 × 118,435.32
  4. Step 4: Simplify right side
    209,093.76x = 34,166,910,407.16
  5. Step 5: Solve for x
    x = 34,166,910,407.16/209,093.76
  6. Step 6: Final answer
    x = 163,404.73

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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.