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Finding the Fourth Proportional to 206,010.78, 284,323.68 and 148,835.13

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Solution

The fourth proportional to 206,010.78, 284,323.68 and 148,835.13 is: 205,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,010.78 : 284,323.68 = 148,835.13 : x
  2. Step 2: Convert to fraction form
    206,010.78/284,323.68 = 148,835.13/x
  3. Step 3: Cross multiply
    206,010.78x = 284,323.68 × 148,835.13
  4. Step 4: Simplify right side
    206,010.78x = 42,317,351,874.88
  5. Step 5: Solve for x
    x = 42,317,351,874.88/206,010.78
  6. Step 6: Final answer
    x = 205,413.29

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1.5x scale

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.