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Finding the Fourth Proportional to 209,099.57, 288,548 and 118,453.69

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Solution

The fourth proportional to 209,099.57, 288,548 and 118,453.69 is: 163,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,099.57 : 288,548 = 118,453.69 : x
  2. Step 2: Convert to fraction form
    209,099.57/288,548 = 118,453.69/x
  3. Step 3: Cross multiply
    209,099.57x = 288,548 × 118,453.69
  4. Step 4: Simplify right side
    209,099.57x = 34,179,573,899.38
  5. Step 5: Solve for x
    x = 34,179,573,899.38/209,099.57
  6. Step 6: Final answer
    x = 163,460.76

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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.