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Finding the Fourth Proportional to 151,020.74, 208,413.15 and 83,034.20

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Solution

The fourth proportional to 151,020.74, 208,413.15 and 83,034.20 is: 114,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,020.74 : 208,413.15 = 83,034.20 : x
  2. Step 2: Convert to fraction form
    151,020.74/208,413.15 = 83,034.20/x
  3. Step 3: Cross multiply
    151,020.74x = 208,413.15 × 83,034.20
  4. Step 4: Simplify right side
    151,020.74x = 17,305,418,137.66
  5. Step 5: Solve for x
    x = 17,305,418,137.66/151,020.74
  6. Step 6: Final answer
    x = 114,589.68

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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.