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Finding the Fourth Proportional to 72,506.70, 108,716.31 and 32,518.40

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Solution

The fourth proportional to 72,506.70, 108,716.31 and 32,518.40 is: 48,757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,506.70 : 108,716.31 = 32,518.40 : x
  2. Step 2: Convert to fraction form
    72,506.70/108,716.31 = 32,518.40/x
  3. Step 3: Cross multiply
    72,506.70x = 108,716.31 × 32,518.40
  4. Step 4: Simplify right side
    72,506.70x = 3,535,279,911.52
  5. Step 5: Solve for x
    x = 3,535,279,911.52/72,506.70
  6. Step 6: Final answer
    x = 48,757.98

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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.