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Finding the Fourth Proportional to 104,814.67, 156,739.12 and 77,847.92

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Solution

The fourth proportional to 104,814.67, 156,739.12 and 77,847.92 is: 116,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,814.67 : 156,739.12 = 77,847.92 : x
  2. Step 2: Convert to fraction form
    104,814.67/156,739.12 = 77,847.92/x
  3. Step 3: Cross multiply
    104,814.67x = 156,739.12 × 77,847.92
  4. Step 4: Simplify right side
    104,814.67x = 12,201,814,474.63
  5. Step 5: Solve for x
    x = 12,201,814,474.63/104,814.67
  6. Step 6: Final answer
    x = 116,413.23

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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.