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Finding the Fourth Proportional to 129,506.72, 194,274 and 40,762.88

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Solution

The fourth proportional to 129,506.72, 194,274 and 40,762.88 is: 61,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,506.72 : 194,274 = 40,762.88 : x
  2. Step 2: Convert to fraction form
    129,506.72/194,274 = 40,762.88/x
  3. Step 3: Cross multiply
    129,506.72x = 194,274 × 40,762.88
  4. Step 4: Simplify right side
    129,506.72x = 7,919,167,749.12
  5. Step 5: Solve for x
    x = 7,919,167,749.12/129,506.72
  6. Step 6: Final answer
    x = 61,148.70

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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.