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Finding the Fourth Proportional to 201,633.60, 302,158.80 and 89,221.80

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Solution

The fourth proportional to 201,633.60, 302,158.80 and 89,221.80 is: 133,703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,633.60 : 302,158.80 = 89,221.80 : x
  2. Step 2: Convert to fraction form
    201,633.60/302,158.80 = 89,221.80/x
  3. Step 3: Cross multiply
    201,633.60x = 302,158.80 × 89,221.80
  4. Step 4: Simplify right side
    201,633.60x = 26,959,152,021.84
  5. Step 5: Solve for x
    x = 26,959,152,021.84/201,633.60
  6. Step 6: Final answer
    x = 133,703.67

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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.