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Finding the Fourth Proportional to 118,413.20, 178,057.20 and 99,167.60

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Solution

The fourth proportional to 118,413.20, 178,057.20 and 99,167.60 is: 149,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,413.20 : 178,057.20 = 99,167.60 : x
  2. Step 2: Convert to fraction form
    118,413.20/178,057.20 = 99,167.60/x
  3. Step 3: Cross multiply
    118,413.20x = 178,057.20 × 99,167.60
  4. Step 4: Simplify right side
    118,413.20x = 17,657,505,186.72
  5. Step 5: Solve for x
    x = 17,657,505,186.72/118,413.20
  6. Step 6: Final answer
    x = 149,117.71

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1.5x scale

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.