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Finding the Fourth Proportional to 209,638.78, 314,507.31 and 69,397.36

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Solution

The fourth proportional to 209,638.78, 314,507.31 and 69,397.36 is: 104,112.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,638.78 : 314,507.31 = 69,397.36 : x
  2. Step 2: Convert to fraction form
    209,638.78/314,507.31 = 69,397.36/x
  3. Step 3: Cross multiply
    209,638.78x = 314,507.31 × 69,397.36
  4. Step 4: Simplify right side
    209,638.78x = 21,825,977,014.70
  5. Step 5: Solve for x
    x = 21,825,977,014.70/209,638.78
  6. Step 6: Final answer
    x = 104,112.31

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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.