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Finding the Fourth Proportional to 91,965.11, 126,923.19 and 51,678

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Solution

The fourth proportional to 91,965.11, 126,923.19 and 51,678 is: 71,322.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,965.11 : 126,923.19 = 51,678 : x
  2. Step 2: Convert to fraction form
    91,965.11/126,923.19 = 51,678/x
  3. Step 3: Cross multiply
    91,965.11x = 126,923.19 × 51,678
  4. Step 4: Simplify right side
    91,965.11x = 6,559,136,419.03
  5. Step 5: Solve for x
    x = 6,559,136,419.03/91,965.11
  6. Step 6: Final answer
    x = 71,322.01

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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.