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Finding the Fourth Proportional to 121,413.80, 182,120.70 and 99,252.20

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Solution

The fourth proportional to 121,413.80, 182,120.70 and 99,252.20 is: 148,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,413.80 : 182,120.70 = 99,252.20 : x
  2. Step 2: Convert to fraction form
    121,413.80/182,120.70 = 99,252.20/x
  3. Step 3: Cross multiply
    121,413.80x = 182,120.70 × 99,252.20
  4. Step 4: Simplify right side
    121,413.80x = 18,075,880,140.54
  5. Step 5: Solve for x
    x = 18,075,880,140.54/121,413.80
  6. Step 6: Final answer
    x = 148,878.30

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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.