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Finding the Fourth Proportional to 133,648.65, 200,410.20 and 77,504.72

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Solution

The fourth proportional to 133,648.65, 200,410.20 and 77,504.72 is: 116,220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,648.65 : 200,410.20 = 77,504.72 : x
  2. Step 2: Convert to fraction form
    133,648.65/200,410.20 = 77,504.72/x
  3. Step 3: Cross multiply
    133,648.65x = 200,410.20 × 77,504.72
  4. Step 4: Simplify right side
    133,648.65x = 15,532,735,434.09
  5. Step 5: Solve for x
    x = 15,532,735,434.09/133,648.65
  6. Step 6: Final answer
    x = 116,220.67

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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.