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Finding the Fourth Proportional to 133,819.47, 200,665.65 and 77,676.90

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Solution

The fourth proportional to 133,819.47, 200,665.65 and 77,676.90 is: 116,478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,819.47 : 200,665.65 = 77,676.90 : x
  2. Step 2: Convert to fraction form
    133,819.47/200,665.65 = 77,676.90/x
  3. Step 3: Cross multiply
    133,819.47x = 200,665.65 × 77,676.90
  4. Step 4: Simplify right side
    133,819.47x = 15,587,085,628.49
  5. Step 5: Solve for x
    x = 15,587,085,628.49/133,819.47
  6. Step 6: Final answer
    x = 116,478.46

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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.