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Finding the Fourth Proportional to 102,658.71, 154,036.80 and 71,117.31

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Solution

The fourth proportional to 102,658.71, 154,036.80 and 71,117.31 is: 106,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,658.71 : 154,036.80 = 71,117.31 : x
  2. Step 2: Convert to fraction form
    102,658.71/154,036.80 = 71,117.31/x
  3. Step 3: Cross multiply
    102,658.71x = 154,036.80 × 71,117.31
  4. Step 4: Simplify right side
    102,658.71x = 10,954,682,857.01
  5. Step 5: Solve for x
    x = 10,954,682,857.01/102,658.71
  6. Step 6: Final answer
    x = 106,709.73

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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.