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Finding the Fourth Proportional to 91,689.82, 126,538 and 51,406.22

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Solution

The fourth proportional to 91,689.82, 126,538 and 51,406.22 is: 70,943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,689.82 : 126,538 = 51,406.22 : x
  2. Step 2: Convert to fraction form
    91,689.82/126,538 = 51,406.22/x
  3. Step 3: Cross multiply
    91,689.82x = 126,538 × 51,406.22
  4. Step 4: Simplify right side
    91,689.82x = 6,504,840,266.36
  5. Step 5: Solve for x
    x = 6,504,840,266.36/91,689.82
  6. Step 6: Final answer
    x = 70,943.97

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1.5x scale

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.