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Finding the Fourth Proportional to 51,234, 76,809.29 and 34,384.38

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Solution

The fourth proportional to 51,234, 76,809.29 and 34,384.38 is: 51,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,234 : 76,809.29 = 34,384.38 : x
  2. Step 2: Convert to fraction form
    51,234/76,809.29 = 34,384.38/x
  3. Step 3: Cross multiply
    51,234x = 76,809.29 × 34,384.38
  4. Step 4: Simplify right side
    51,234x = 2,641,039,642.97
  5. Step 5: Solve for x
    x = 2,641,039,642.97/51,234
  6. Step 6: Final answer
    x = 51,548.57

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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.