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Finding the Fourth Proportional to 108,413.80, 162,390.30 and 89,981.80

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Solution

The fourth proportional to 108,413.80, 162,390.30 and 89,981.80 is: 134,781.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,413.80 : 162,390.30 = 89,981.80 : x
  2. Step 2: Convert to fraction form
    108,413.80/162,390.30 = 89,981.80/x
  3. Step 3: Cross multiply
    108,413.80x = 162,390.30 × 89,981.80
  4. Step 4: Simplify right side
    108,413.80x = 14,612,171,496.54
  5. Step 5: Solve for x
    x = 14,612,171,496.54/108,413.80
  6. Step 6: Final answer
    x = 134,781.47

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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.