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Finding the Fourth Proportional to 201,389.80, 302,318.10 and 108,077.80

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Solution

The fourth proportional to 201,389.80, 302,318.10 and 108,077.80 is: 162,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,389.80 : 302,318.10 = 108,077.80 : x
  2. Step 2: Convert to fraction form
    201,389.80/302,318.10 = 108,077.80/x
  3. Step 3: Cross multiply
    201,389.80x = 302,318.10 × 108,077.80
  4. Step 4: Simplify right side
    201,389.80x = 32,673,875,148.18
  5. Step 5: Solve for x
    x = 32,673,875,148.18/201,389.80
  6. Step 6: Final answer
    x = 162,241.96

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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.