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Finding the Fourth Proportional to 205,804.60, 309,023.70 and 112,492.60

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Solution

The fourth proportional to 205,804.60, 309,023.70 and 112,492.60 is: 168,912.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,804.60 : 309,023.70 = 112,492.60 : x
  2. Step 2: Convert to fraction form
    205,804.60/309,023.70 = 112,492.60/x
  3. Step 3: Cross multiply
    205,804.60x = 309,023.70 × 112,492.60
  4. Step 4: Simplify right side
    205,804.60x = 34,762,879,474.62
  5. Step 5: Solve for x
    x = 34,762,879,474.62/205,804.60
  6. Step 6: Final answer
    x = 168,912.06

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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.