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Finding the Fourth Proportional to 201,709.10, 302,563.65 and 145,721.90

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Solution

The fourth proportional to 201,709.10, 302,563.65 and 145,721.90 is: 218,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,709.10 : 302,563.65 = 145,721.90 : x
  2. Step 2: Convert to fraction form
    201,709.10/302,563.65 = 145,721.90/x
  3. Step 3: Cross multiply
    201,709.10x = 302,563.65 × 145,721.90
  4. Step 4: Simplify right side
    201,709.10x = 44,090,149,948.94
  5. Step 5: Solve for x
    x = 44,090,149,948.94/201,709.10
  6. Step 6: Final answer
    x = 218,582.85

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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.