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Finding the Fourth Proportional to 208,251.76, 287,172.64 and 178,136.78

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Solution

The fourth proportional to 208,251.76, 287,172.64 and 178,136.78 is: 245,645.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,251.76 : 287,172.64 = 178,136.78 : x
  2. Step 2: Convert to fraction form
    208,251.76/287,172.64 = 178,136.78/x
  3. Step 3: Cross multiply
    208,251.76x = 287,172.64 × 178,136.78
  4. Step 4: Simplify right side
    208,251.76x = 51,156,009,393.70
  5. Step 5: Solve for x
    x = 51,156,009,393.70/208,251.76
  6. Step 6: Final answer
    x = 245,645.03

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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.