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Finding the Fourth Proportional to 199,643.60, 275,561.16 and 114,770

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Solution

The fourth proportional to 199,643.60, 275,561.16 and 114,770 is: 158,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,643.60 : 275,561.16 = 114,770 : x
  2. Step 2: Convert to fraction form
    199,643.60/275,561.16 = 114,770/x
  3. Step 3: Cross multiply
    199,643.60x = 275,561.16 × 114,770
  4. Step 4: Simplify right side
    199,643.60x = 31,626,154,333.20
  5. Step 5: Solve for x
    x = 31,626,154,333.20/199,643.60
  6. Step 6: Final answer
    x = 158,413.06

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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.