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Finding the Fourth Proportional to 135,135, 186,477.36 and 77,765.04

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Solution

The fourth proportional to 135,135, 186,477.36 and 77,765.04 is: 107,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,135 : 186,477.36 = 77,765.04 : x
  2. Step 2: Convert to fraction form
    135,135/186,477.36 = 77,765.04/x
  3. Step 3: Cross multiply
    135,135x = 186,477.36 × 77,765.04
  4. Step 4: Simplify right side
    135,135x = 14,501,419,359.49
  5. Step 5: Solve for x
    x = 14,501,419,359.49/135,135
  6. Step 6: Final answer
    x = 107,310.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.