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Finding the Fourth Proportional to 129,693.30, 194,523.54 and 40,955.78

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Solution

The fourth proportional to 129,693.30, 194,523.54 and 40,955.78 is: 61,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,693.30 : 194,523.54 = 40,955.78 : x
  2. Step 2: Convert to fraction form
    129,693.30/194,523.54 = 40,955.78/x
  3. Step 3: Cross multiply
    129,693.30x = 194,523.54 × 40,955.78
  4. Step 4: Simplify right side
    129,693.30x = 7,966,862,336.44
  5. Step 5: Solve for x
    x = 7,966,862,336.44/129,693.30
  6. Step 6: Final answer
    x = 61,428.48

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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.