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Finding the Fourth Proportional to 102,727.46, 154,140.06 and 71,186.06

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Solution

The fourth proportional to 102,727.46, 154,140.06 and 71,186.06 is: 106,812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,727.46 : 154,140.06 = 71,186.06 : x
  2. Step 2: Convert to fraction form
    102,727.46/154,140.06 = 71,186.06/x
  3. Step 3: Cross multiply
    102,727.46x = 154,140.06 × 71,186.06
  4. Step 4: Simplify right side
    102,727.46x = 10,972,623,559.56
  5. Step 5: Solve for x
    x = 10,972,623,559.56/102,727.46
  6. Step 6: Final answer
    x = 106,812.95

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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.