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Finding the Fourth Proportional to 148,511.80, 204,943.80 and 83,980

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Solution

The fourth proportional to 148,511.80, 204,943.80 and 83,980 is: 115,891.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,511.80 : 204,943.80 = 83,980 : x
  2. Step 2: Convert to fraction form
    148,511.80/204,943.80 = 83,980/x
  3. Step 3: Cross multiply
    148,511.80x = 204,943.80 × 83,980
  4. Step 4: Simplify right side
    148,511.80x = 17,211,180,324
  5. Step 5: Solve for x
    x = 17,211,180,324/148,511.80
  6. Step 6: Final answer
    x = 115,891.00

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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.