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Finding the Fourth Proportional to 64,890.42, 89,527.80 and 36,205.44

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Solution

The fourth proportional to 64,890.42, 89,527.80 and 36,205.44 is: 49,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,890.42 : 89,527.80 = 36,205.44 : x
  2. Step 2: Convert to fraction form
    64,890.42/89,527.80 = 36,205.44/x
  3. Step 3: Cross multiply
    64,890.42x = 89,527.80 × 36,205.44
  4. Step 4: Simplify right side
    64,890.42x = 3,241,393,391.23
  5. Step 5: Solve for x
    x = 3,241,393,391.23/64,890.42
  6. Step 6: Final answer
    x = 49,951.80

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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.