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Finding the Fourth Proportional to 129,855.47, 194,794.31 and 45,608.30

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Solution

The fourth proportional to 129,855.47, 194,794.31 and 45,608.30 is: 68,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,855.47 : 194,794.31 = 45,608.30 : x
  2. Step 2: Convert to fraction form
    129,855.47/194,794.31 = 45,608.30/x
  3. Step 3: Cross multiply
    129,855.47x = 194,794.31 × 45,608.30
  4. Step 4: Simplify right side
    129,855.47x = 8,884,236,126.76
  5. Step 5: Solve for x
    x = 8,884,236,126.76/129,855.47
  6. Step 6: Final answer
    x = 68,416.34

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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.