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Finding the Fourth Proportional to 208,283.88, 312,361.20 and 75,146.82

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Solution

The fourth proportional to 208,283.88, 312,361.20 and 75,146.82 is: 112,696.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,283.88 : 312,361.20 = 75,146.82 : x
  2. Step 2: Convert to fraction form
    208,283.88/312,361.20 = 75,146.82/x
  3. Step 3: Cross multiply
    208,283.88x = 312,361.20 × 75,146.82
  4. Step 4: Simplify right side
    208,283.88x = 23,472,950,871.38
  5. Step 5: Solve for x
    x = 23,472,950,871.38/208,283.88
  6. Step 6: Final answer
    x = 112,696.92

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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.