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Finding the Fourth Proportional to 208,421.98, 287,687.73 and 132,970.42

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Solution

The fourth proportional to 208,421.98, 287,687.73 and 132,970.42 is: 183,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,421.98 : 287,687.73 = 132,970.42 : x
  2. Step 2: Convert to fraction form
    208,421.98/287,687.73 = 132,970.42/x
  3. Step 3: Cross multiply
    208,421.98x = 287,687.73 × 132,970.42
  4. Step 4: Simplify right side
    208,421.98x = 38,253,958,286.95
  5. Step 5: Solve for x
    x = 38,253,958,286.95/208,421.98
  6. Step 6: Final answer
    x = 183,540.90

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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.