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Finding the Fourth Proportional to 147,802.50, 203,967.45 and 80,734.50

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Solution

The fourth proportional to 147,802.50, 203,967.45 and 80,734.50 is: 111,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,802.50 : 203,967.45 = 80,734.50 : x
  2. Step 2: Convert to fraction form
    147,802.50/203,967.45 = 80,734.50/x
  3. Step 3: Cross multiply
    147,802.50x = 203,967.45 × 80,734.50
  4. Step 4: Simplify right side
    147,802.50x = 16,467,210,092.03
  5. Step 5: Solve for x
    x = 16,467,210,092.03/147,802.50
  6. Step 6: Final answer
    x = 111,413.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.