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Finding the Fourth Proportional to 129,636.56, 194,390.04 and 59,456

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Solution

The fourth proportional to 129,636.56, 194,390.04 and 59,456 is: 89,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,636.56 : 194,390.04 = 59,456 : x
  2. Step 2: Convert to fraction form
    129,636.56/194,390.04 = 59,456/x
  3. Step 3: Cross multiply
    129,636.56x = 194,390.04 × 59,456
  4. Step 4: Simplify right side
    129,636.56x = 11,557,654,218.24
  5. Step 5: Solve for x
    x = 11,557,654,218.24/129,636.56
  6. Step 6: Final answer
    x = 89,154.28

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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.