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Finding the Fourth Proportional to 72,930.41, 100,662.72 and 47,500.16

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Solution

The fourth proportional to 72,930.41, 100,662.72 and 47,500.16 is: 65,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,930.41 : 100,662.72 = 47,500.16 : x
  2. Step 2: Convert to fraction form
    72,930.41/100,662.72 = 47,500.16/x
  3. Step 3: Cross multiply
    72,930.41x = 100,662.72 × 47,500.16
  4. Step 4: Simplify right side
    72,930.41x = 4,781,494,624.60
  5. Step 5: Solve for x
    x = 4,781,494,624.60/72,930.41
  6. Step 6: Final answer
    x = 65,562.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.