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Finding the Fourth Proportional to 109,253.60, 163,918.80 and 105,413.60

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Solution

The fourth proportional to 109,253.60, 163,918.80 and 105,413.60 is: 158,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,253.60 : 163,918.80 = 105,413.60 : x
  2. Step 2: Convert to fraction form
    109,253.60/163,918.80 = 105,413.60/x
  3. Step 3: Cross multiply
    109,253.60x = 163,918.80 × 105,413.60
  4. Step 4: Simplify right side
    109,253.60x = 17,279,270,815.68
  5. Step 5: Solve for x
    x = 17,279,270,815.68/109,253.60
  6. Step 6: Final answer
    x = 158,157.45

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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.