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Finding the Fourth Proportional to 102,934.80, 154,409.40 and 40,597.20

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Solution

The fourth proportional to 102,934.80, 154,409.40 and 40,597.20 is: 60,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,934.80 : 154,409.40 = 40,597.20 : x
  2. Step 2: Convert to fraction form
    102,934.80/154,409.40 = 40,597.20/x
  3. Step 3: Cross multiply
    102,934.80x = 154,409.40 × 40,597.20
  4. Step 4: Simplify right side
    102,934.80x = 6,268,589,293.68
  5. Step 5: Solve for x
    x = 6,268,589,293.68/102,934.80
  6. Step 6: Final answer
    x = 60,898.64

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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.