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Finding the Fourth Proportional to 208,251.64, 287,172.46 and 178,136.66

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Solution

The fourth proportional to 208,251.64, 287,172.46 and 178,136.66 is: 245,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,251.64 : 287,172.46 = 178,136.66 : x
  2. Step 2: Convert to fraction form
    208,251.64/287,172.46 = 178,136.66/x
  3. Step 3: Cross multiply
    208,251.64x = 287,172.46 × 178,136.66
  4. Step 4: Simplify right side
    208,251.64x = 51,155,942,868.38
  5. Step 5: Solve for x
    x = 51,155,942,868.38/208,251.64
  6. Step 6: Final answer
    x = 245,644.85

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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.