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Finding the Fourth Proportional to 242,809.75, 364,152.49 and 71,991.52

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Solution

The fourth proportional to 242,809.75, 364,152.49 and 71,991.52 is: 107,968.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,809.75 : 364,152.49 = 71,991.52 : x
  2. Step 2: Convert to fraction form
    242,809.75/364,152.49 = 71,991.52/x
  3. Step 3: Cross multiply
    242,809.75x = 364,152.49 × 71,991.52
  4. Step 4: Simplify right side
    242,809.75x = 26,215,890,581.48
  5. Step 5: Solve for x
    x = 26,215,890,581.48/242,809.75
  6. Step 6: Final answer
    x = 107,968.86

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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.