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Finding the Fourth Proportional to 117,871.64, 176,666.94 and 82,139.48

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Solution

The fourth proportional to 117,871.64, 176,666.94 and 82,139.48 is: 123,111.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,871.64 : 176,666.94 = 82,139.48 : x
  2. Step 2: Convert to fraction form
    117,871.64/176,666.94 = 82,139.48/x
  3. Step 3: Cross multiply
    117,871.64x = 176,666.94 × 82,139.48
  4. Step 4: Simplify right side
    117,871.64x = 14,511,330,584.79
  5. Step 5: Solve for x
    x = 14,511,330,584.79/117,871.64
  6. Step 6: Final answer
    x = 123,111.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.