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Finding the Fourth Proportional to 209,790, 314,734.82 and 69,548.63

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Solution

The fourth proportional to 209,790, 314,734.82 and 69,548.63 is: 104,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,790 : 314,734.82 = 69,548.63 : x
  2. Step 2: Convert to fraction form
    209,790/314,734.82 = 69,548.63/x
  3. Step 3: Cross multiply
    209,790x = 314,734.82 × 69,548.63
  4. Step 4: Simplify right side
    209,790x = 21,889,373,622.88
  5. Step 5: Solve for x
    x = 21,889,373,622.88/209,790
  6. Step 6: Final answer
    x = 104,339.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.