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Finding the Fourth Proportional to 98,020.20, 147,030.30 and 81,413.40

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Solution

The fourth proportional to 98,020.20, 147,030.30 and 81,413.40 is: 122,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,020.20 : 147,030.30 = 81,413.40 : x
  2. Step 2: Convert to fraction form
    98,020.20/147,030.30 = 81,413.40/x
  3. Step 3: Cross multiply
    98,020.20x = 147,030.30 × 81,413.40
  4. Step 4: Simplify right side
    98,020.20x = 11,970,236,626.02
  5. Step 5: Solve for x
    x = 11,970,236,626.02/98,020.20
  6. Step 6: Final answer
    x = 122,120.10

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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.