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Finding the Fourth Proportional to 209,102.96, 288,567.96 and 123,068

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Solution

The fourth proportional to 209,102.96, 288,567.96 and 123,068 is: 169,837.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,102.96 : 288,567.96 = 123,068 : x
  2. Step 2: Convert to fraction form
    209,102.96/288,567.96 = 123,068/x
  3. Step 3: Cross multiply
    209,102.96x = 288,567.96 × 123,068
  4. Step 4: Simplify right side
    209,102.96x = 35,513,481,701.28
  5. Step 5: Solve for x
    x = 35,513,481,701.28/209,102.96
  6. Step 6: Final answer
    x = 169,837.30

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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.