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Finding the Fourth Proportional to 209,324.30, 313,942.50 and 69,050.06

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Solution

The fourth proportional to 209,324.30, 313,942.50 and 69,050.06 is: 103,560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,324.30 : 313,942.50 = 69,050.06 : x
  2. Step 2: Convert to fraction form
    209,324.30/313,942.50 = 69,050.06/x
  3. Step 3: Cross multiply
    209,324.30x = 313,942.50 × 69,050.06
  4. Step 4: Simplify right side
    209,324.30x = 21,677,748,461.55
  5. Step 5: Solve for x
    x = 21,677,748,461.55/209,324.30
  6. Step 6: Final answer
    x = 103,560.59

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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.