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Finding the Fourth Proportional to 209,281.54, 313,922.32 and 61,537.54

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Solution

The fourth proportional to 209,281.54, 313,922.32 and 61,537.54 is: 92,306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,281.54 : 313,922.32 = 61,537.54 : x
  2. Step 2: Convert to fraction form
    209,281.54/313,922.32 = 61,537.54/x
  3. Step 3: Cross multiply
    209,281.54x = 313,922.32 × 61,537.54
  4. Step 4: Simplify right side
    209,281.54x = 19,318,007,323.89
  5. Step 5: Solve for x
    x = 19,318,007,323.89/209,281.54
  6. Step 6: Final answer
    x = 92,306.31

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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.