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Finding the Fourth Proportional to 192,536.20, 288,804.84 and 78,684.04

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Solution

The fourth proportional to 192,536.20, 288,804.84 and 78,684.04 is: 118,026.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,536.20 : 288,804.84 = 78,684.04 : x
  2. Step 2: Convert to fraction form
    192,536.20/288,804.84 = 78,684.04/x
  3. Step 3: Cross multiply
    192,536.20x = 288,804.84 × 78,684.04
  4. Step 4: Simplify right side
    192,536.20x = 22,724,331,582.75
  5. Step 5: Solve for x
    x = 22,724,331,582.75/192,536.20
  6. Step 6: Final answer
    x = 118,026.28

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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.