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Finding the Fourth Proportional to 102,765, 154,178.58 and 72,837.12

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Solution

The fourth proportional to 102,765, 154,178.58 and 72,837.12 is: 109,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,765 : 154,178.58 = 72,837.12 : x
  2. Step 2: Convert to fraction form
    102,765/154,178.58 = 72,837.12/x
  3. Step 3: Cross multiply
    102,765x = 154,178.58 × 72,837.12
  4. Step 4: Simplify right side
    102,765x = 11,229,923,732.89
  5. Step 5: Solve for x
    x = 11,229,923,732.89/102,765
  6. Step 6: Final answer
    x = 109,277.71

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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.