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Finding the Fourth Proportional to 65,972, 91,047.12 and 36,169.76

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Solution

The fourth proportional to 65,972, 91,047.12 and 36,169.76 is: 49,917.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,972 : 91,047.12 = 36,169.76 : x
  2. Step 2: Convert to fraction form
    65,972/91,047.12 = 36,169.76/x
  3. Step 3: Cross multiply
    65,972x = 91,047.12 × 36,169.76
  4. Step 4: Simplify right side
    65,972x = 3,293,152,479.09
  5. Step 5: Solve for x
    x = 3,293,152,479.09/65,972
  6. Step 6: Final answer
    x = 49,917.43

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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.