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Finding the Fourth Proportional to 188,820.22, 260,571.90 and 102,779.53

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Solution

The fourth proportional to 188,820.22, 260,571.90 and 102,779.53 is: 141,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,820.22 : 260,571.90 = 102,779.53 : x
  2. Step 2: Convert to fraction form
    188,820.22/260,571.90 = 102,779.53/x
  3. Step 3: Cross multiply
    188,820.22x = 260,571.90 × 102,779.53
  4. Step 4: Simplify right side
    188,820.22x = 26,781,457,413.21
  5. Step 5: Solve for x
    x = 26,781,457,413.21/188,820.22
  6. Step 6: Final answer
    x = 141,835.75

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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.