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Finding the Fourth Proportional to 132,176, 182,404.16 and 72,561.28

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Solution

The fourth proportional to 132,176, 182,404.16 and 72,561.28 is: 100,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,176 : 182,404.16 = 72,561.28 : x
  2. Step 2: Convert to fraction form
    132,176/182,404.16 = 72,561.28/x
  3. Step 3: Cross multiply
    132,176x = 182,404.16 × 72,561.28
  4. Step 4: Simplify right side
    132,176x = 13,235,479,326.92
  5. Step 5: Solve for x
    x = 13,235,479,326.92/132,176
  6. Step 6: Final answer
    x = 100,135.27

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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.