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Finding the Fourth Proportional to 70,291.32, 96,992.46 and 41,991

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Solution

The fourth proportional to 70,291.32, 96,992.46 and 41,991 is: 57,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,291.32 : 96,992.46 = 41,991 : x
  2. Step 2: Convert to fraction form
    70,291.32/96,992.46 = 41,991/x
  3. Step 3: Cross multiply
    70,291.32x = 96,992.46 × 41,991
  4. Step 4: Simplify right side
    70,291.32x = 4,072,810,387.86
  5. Step 5: Solve for x
    x = 4,072,810,387.86/70,291.32
  6. Step 6: Final answer
    x = 57,941.87

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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.