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Finding the Fourth Proportional to 242,829.75, 364,245.31 and 85,021.30

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Solution

The fourth proportional to 242,829.75, 364,245.31 and 85,021.30 is: 127,532.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,829.75 : 364,245.31 = 85,021.30 : x
  2. Step 2: Convert to fraction form
    242,829.75/364,245.31 = 85,021.30/x
  3. Step 3: Cross multiply
    242,829.75x = 364,245.31 × 85,021.30
  4. Step 4: Simplify right side
    242,829.75x = 30,968,607,809.56
  5. Step 5: Solve for x
    x = 30,968,607,809.56/242,829.75
  6. Step 6: Final answer
    x = 127,532.18

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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.