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Finding the Fourth Proportional to 105,885.91, 158,705.78 and 39,283.56

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Solution

The fourth proportional to 105,885.91, 158,705.78 and 39,283.56 is: 58,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,885.91 : 158,705.78 = 39,283.56 : x
  2. Step 2: Convert to fraction form
    105,885.91/158,705.78 = 39,283.56/x
  3. Step 3: Cross multiply
    105,885.91x = 158,705.78 × 39,283.56
  4. Step 4: Simplify right side
    105,885.91x = 6,234,527,834.56
  5. Step 5: Solve for x
    x = 6,234,527,834.56/105,885.91
  6. Step 6: Final answer
    x = 58,879.68

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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.