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Finding the Fourth Proportional to 148,603.25, 205,072.47 and 84,942.42

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Solution

The fourth proportional to 148,603.25, 205,072.47 and 84,942.42 is: 117,220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,603.25 : 205,072.47 = 84,942.42 : x
  2. Step 2: Convert to fraction form
    148,603.25/205,072.47 = 84,942.42/x
  3. Step 3: Cross multiply
    148,603.25x = 205,072.47 × 84,942.42
  4. Step 4: Simplify right side
    148,603.25x = 17,419,350,427.10
  5. Step 5: Solve for x
    x = 17,419,350,427.10/148,603.25
  6. Step 6: Final answer
    x = 117,220.52

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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.