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Finding the Fourth Proportional to 151,755.66, 209,413.83 and 83,770.95

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Solution

The fourth proportional to 151,755.66, 209,413.83 and 83,770.95 is: 115,598.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,755.66 : 209,413.83 = 83,770.95 : x
  2. Step 2: Convert to fraction form
    151,755.66/209,413.83 = 83,770.95/x
  3. Step 3: Cross multiply
    151,755.66x = 209,413.83 × 83,770.95
  4. Step 4: Simplify right side
    151,755.66x = 17,542,795,482.24
  5. Step 5: Solve for x
    x = 17,542,795,482.24/151,755.66
  6. Step 6: Final answer
    x = 115,598.95

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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.