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Finding the Fourth Proportional to 148,289.36, 204,648 and 84,647.66

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Solution

The fourth proportional to 148,289.36, 204,648 and 84,647.66 is: 116,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,289.36 : 204,648 = 84,647.66 : x
  2. Step 2: Convert to fraction form
    148,289.36/204,648 = 84,647.66/x
  3. Step 3: Cross multiply
    148,289.36x = 204,648 × 84,647.66
  4. Step 4: Simplify right side
    148,289.36x = 17,322,974,323.68
  5. Step 5: Solve for x
    x = 17,322,974,323.68/148,289.36
  6. Step 6: Final answer
    x = 116,818.73

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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.