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Finding the Fourth Proportional to 73,141.60, 109,636.80 and 39,791.20

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Solution

The fourth proportional to 73,141.60, 109,636.80 and 39,791.20 is: 59,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,141.60 : 109,636.80 = 39,791.20 : x
  2. Step 2: Convert to fraction form
    73,141.60/109,636.80 = 39,791.20/x
  3. Step 3: Cross multiply
    73,141.60x = 109,636.80 × 39,791.20
  4. Step 4: Simplify right side
    73,141.60x = 4,362,579,836.16
  5. Step 5: Solve for x
    x = 4,362,579,836.16/73,141.60
  6. Step 6: Final answer
    x = 59,645.67

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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.