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Finding the Fourth Proportional to 132,576, 182,954.91 and 72,960

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Solution

The fourth proportional to 132,576, 182,954.91 and 72,960 is: 100,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,576 : 182,954.91 = 72,960 : x
  2. Step 2: Convert to fraction form
    132,576/182,954.91 = 72,960/x
  3. Step 3: Cross multiply
    132,576x = 182,954.91 × 72,960
  4. Step 4: Simplify right side
    132,576x = 13,348,390,233.60
  5. Step 5: Solve for x
    x = 13,348,390,233.60/132,576
  6. Step 6: Final answer
    x = 100,684.82

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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.