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Finding the Fourth Proportional to 129,493.80, 194,189.64 and 62,914.20

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Solution

The fourth proportional to 129,493.80, 194,189.64 and 62,914.20 is: 94,346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,493.80 : 194,189.64 = 62,914.20 : x
  2. Step 2: Convert to fraction form
    129,493.80/194,189.64 = 62,914.20/x
  3. Step 3: Cross multiply
    129,493.80x = 194,189.64 × 62,914.20
  4. Step 4: Simplify right side
    129,493.80x = 12,217,285,848.89
  5. Step 5: Solve for x
    x = 12,217,285,848.89/129,493.80
  6. Step 6: Final answer
    x = 94,346.49

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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.