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Finding the Fourth Proportional to 209,486.30, 289,091.16 and 113,990.94

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Solution

The fourth proportional to 209,486.30, 289,091.16 and 113,990.94 is: 157,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,486.30 : 289,091.16 = 113,990.94 : x
  2. Step 2: Convert to fraction form
    209,486.30/289,091.16 = 113,990.94/x
  3. Step 3: Cross multiply
    209,486.30x = 289,091.16 × 113,990.94
  4. Step 4: Simplify right side
    209,486.30x = 32,953,773,074.09
  5. Step 5: Solve for x
    x = 32,953,773,074.09/209,486.30
  6. Step 6: Final answer
    x = 157,307.54

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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.