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Finding the Fourth Proportional to 105,379.79, 158,132.05 and 38,866.64

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Solution

The fourth proportional to 105,379.79, 158,132.05 and 38,866.64 is: 58,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,379.79 : 158,132.05 = 38,866.64 : x
  2. Step 2: Convert to fraction form
    105,379.79/158,132.05 = 38,866.64/x
  3. Step 3: Cross multiply
    105,379.79x = 158,132.05 × 38,866.64
  4. Step 4: Simplify right side
    105,379.79x = 6,146,060,571.99
  5. Step 5: Solve for x
    x = 6,146,060,571.99/105,379.79
  6. Step 6: Final answer
    x = 58,322.96

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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.