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Finding the Fourth Proportional to 132,476.14, 182,815.31 and 72,045.48

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Solution

The fourth proportional to 132,476.14, 182,815.31 and 72,045.48 is: 99,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,476.14 : 182,815.31 = 72,045.48 : x
  2. Step 2: Convert to fraction form
    132,476.14/182,815.31 = 72,045.48/x
  3. Step 3: Cross multiply
    132,476.14x = 182,815.31 × 72,045.48
  4. Step 4: Simplify right side
    132,476.14x = 13,171,017,625.97
  5. Step 5: Solve for x
    x = 13,171,017,625.97/132,476.14
  6. Step 6: Final answer
    x = 99,421.81

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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.