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Finding the Fourth Proportional to 105,328.80, 158,338.80 and 74,378.40

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Solution

The fourth proportional to 105,328.80, 158,338.80 and 74,378.40 is: 111,811.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,328.80 : 158,338.80 = 74,378.40 : x
  2. Step 2: Convert to fraction form
    105,328.80/158,338.80 = 74,378.40/x
  3. Step 3: Cross multiply
    105,328.80x = 158,338.80 × 74,378.40
  4. Step 4: Simplify right side
    105,328.80x = 11,776,986,601.92
  5. Step 5: Solve for x
    x = 11,776,986,601.92/105,328.80
  6. Step 6: Final answer
    x = 111,811.65

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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.