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Finding the Fourth Proportional to 93,780, 140,662.64 and 41,189.92

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Solution

The fourth proportional to 93,780, 140,662.64 and 41,189.92 is: 61,781.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,780 : 140,662.64 = 41,189.92 : x
  2. Step 2: Convert to fraction form
    93,780/140,662.64 = 41,189.92/x
  3. Step 3: Cross multiply
    93,780x = 140,662.64 × 41,189.92
  4. Step 4: Simplify right side
    93,780x = 5,793,882,888.59
  5. Step 5: Solve for x
    x = 5,793,882,888.59/93,780
  6. Step 6: Final answer
    x = 61,781.65

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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.