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Finding the Fourth Proportional to 102,857.79, 154,037.52 and 71,179.08

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Solution

The fourth proportional to 102,857.79, 154,037.52 and 71,179.08 is: 106,596.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,857.79 : 154,037.52 = 71,179.08 : x
  2. Step 2: Convert to fraction form
    102,857.79/154,037.52 = 71,179.08/x
  3. Step 3: Cross multiply
    102,857.79x = 154,037.52 × 71,179.08
  4. Step 4: Simplify right side
    102,857.79x = 10,964,248,959.08
  5. Step 5: Solve for x
    x = 10,964,248,959.08/102,857.79
  6. Step 6: Final answer
    x = 106,596.19

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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.