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Finding the Fourth Proportional to 51,129.40, 76,751.70 and 39,494.20

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Solution

The fourth proportional to 51,129.40, 76,751.70 and 39,494.20 is: 59,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,129.40 : 76,751.70 = 39,494.20 : x
  2. Step 2: Convert to fraction form
    51,129.40/76,751.70 = 39,494.20/x
  3. Step 3: Cross multiply
    51,129.40x = 76,751.70 × 39,494.20
  4. Step 4: Simplify right side
    51,129.40x = 3,031,246,990.14
  5. Step 5: Solve for x
    x = 3,031,246,990.14/51,129.40
  6. Step 6: Final answer
    x = 59,285.79

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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.