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Finding the Fourth Proportional to 148,075.44, 204,345.72 and 81,006

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Solution

The fourth proportional to 148,075.44, 204,345.72 and 81,006 is: 111,789.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,075.44 : 204,345.72 = 81,006 : x
  2. Step 2: Convert to fraction form
    148,075.44/204,345.72 = 81,006/x
  3. Step 3: Cross multiply
    148,075.44x = 204,345.72 × 81,006
  4. Step 4: Simplify right side
    148,075.44x = 16,553,229,394.32
  5. Step 5: Solve for x
    x = 16,553,229,394.32/148,075.44
  6. Step 6: Final answer
    x = 111,789.16

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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.