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Finding the Fourth Proportional to 102,930.69, 154,410.79 and 31,859.57

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Solution

The fourth proportional to 102,930.69, 154,410.79 and 31,859.57 is: 47,793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,930.69 : 154,410.79 = 31,859.57 : x
  2. Step 2: Convert to fraction form
    102,930.69/154,410.79 = 31,859.57/x
  3. Step 3: Cross multiply
    102,930.69x = 154,410.79 × 31,859.57
  4. Step 4: Simplify right side
    102,930.69x = 4,919,460,518.77
  5. Step 5: Solve for x
    x = 4,919,460,518.77/102,930.69
  6. Step 6: Final answer
    x = 47,793.92

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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.