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Finding the Fourth Proportional to 76,952.82, 105,958.02 and 65,596.86

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Solution

The fourth proportional to 76,952.82, 105,958.02 and 65,596.86 is: 90,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,952.82 : 105,958.02 = 65,596.86 : x
  2. Step 2: Convert to fraction form
    76,952.82/105,958.02 = 65,596.86/x
  3. Step 3: Cross multiply
    76,952.82x = 105,958.02 × 65,596.86
  4. Step 4: Simplify right side
    76,952.82x = 6,950,513,403.82
  5. Step 5: Solve for x
    x = 6,950,513,403.82/76,952.82
  6. Step 6: Final answer
    x = 90,321.75

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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.