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Finding the Fourth Proportional to 102,729.46, 154,143.06 and 71,188.06

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Solution

The fourth proportional to 102,729.46, 154,143.06 and 71,188.06 is: 106,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,729.46 : 154,143.06 = 71,188.06 : x
  2. Step 2: Convert to fraction form
    102,729.46/154,143.06 = 71,188.06/x
  3. Step 3: Cross multiply
    102,729.46x = 154,143.06 × 71,188.06
  4. Step 4: Simplify right side
    102,729.46x = 10,973,145,403.86
  5. Step 5: Solve for x
    x = 10,973,145,403.86/102,729.46
  6. Step 6: Final answer
    x = 106,815.96

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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.