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Finding the Fourth Proportional to 208,133.75, 312,009.26 and 74,981.44

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Solution

The fourth proportional to 208,133.75, 312,009.26 and 74,981.44 is: 112,403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,133.75 : 312,009.26 = 74,981.44 : x
  2. Step 2: Convert to fraction form
    208,133.75/312,009.26 = 74,981.44/x
  3. Step 3: Cross multiply
    208,133.75x = 312,009.26 × 74,981.44
  4. Step 4: Simplify right side
    208,133.75x = 23,394,903,623.24
  5. Step 5: Solve for x
    x = 23,394,903,623.24/208,133.75
  6. Step 6: Final answer
    x = 112,403.22

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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.