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Finding the Fourth Proportional to 129,706.34, 179,022.57 and 81,929.30

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Solution

The fourth proportional to 129,706.34, 179,022.57 and 81,929.30 is: 113,080.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,706.34 : 179,022.57 = 81,929.30 : x
  2. Step 2: Convert to fraction form
    129,706.34/179,022.57 = 81,929.30/x
  3. Step 3: Cross multiply
    129,706.34x = 179,022.57 × 81,929.30
  4. Step 4: Simplify right side
    129,706.34x = 14,667,193,844.30
  5. Step 5: Solve for x
    x = 14,667,193,844.30/129,706.34
  6. Step 6: Final answer
    x = 113,080.01

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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.