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Finding the Fourth Proportional to 201,894.90, 302,769.45 and 102,021.90

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Solution

The fourth proportional to 201,894.90, 302,769.45 and 102,021.90 is: 152,996.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,894.90 : 302,769.45 = 102,021.90 : x
  2. Step 2: Convert to fraction form
    201,894.90/302,769.45 = 102,021.90/x
  3. Step 3: Cross multiply
    201,894.90x = 302,769.45 × 102,021.90
  4. Step 4: Simplify right side
    201,894.90x = 30,889,114,550.96
  5. Step 5: Solve for x
    x = 30,889,114,550.96/201,894.90
  6. Step 6: Final answer
    x = 152,996.01

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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.