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Finding the Fourth Proportional to 201,744.30, 302,543.55 and 81,750.90

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Solution

The fourth proportional to 201,744.30, 302,543.55 and 81,750.90 is: 122,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,744.30 : 302,543.55 = 81,750.90 : x
  2. Step 2: Convert to fraction form
    201,744.30/302,543.55 = 81,750.90/x
  3. Step 3: Cross multiply
    201,744.30x = 302,543.55 × 81,750.90
  4. Step 4: Simplify right side
    201,744.30x = 24,733,207,501.70
  5. Step 5: Solve for x
    x = 24,733,207,501.70/201,744.30
  6. Step 6: Final answer
    x = 122,596.81

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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.