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Finding the Fourth Proportional to 51,245.40, 76,868.10 and 31,200.60

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Solution

The fourth proportional to 51,245.40, 76,868.10 and 31,200.60 is: 46,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,245.40 : 76,868.10 = 31,200.60 : x
  2. Step 2: Convert to fraction form
    51,245.40/76,868.10 = 31,200.60/x
  3. Step 3: Cross multiply
    51,245.40x = 76,868.10 × 31,200.60
  4. Step 4: Simplify right side
    51,245.40x = 2,398,330,840.86
  5. Step 5: Solve for x
    x = 2,398,330,840.86/51,245.40
  6. Step 6: Final answer
    x = 46,800.90

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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.