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Finding the Fourth Proportional to 90,409.53, 135,642.45 and 54,425.09

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Solution

The fourth proportional to 90,409.53, 135,642.45 and 54,425.09 is: 81,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,409.53 : 135,642.45 = 54,425.09 : x
  2. Step 2: Convert to fraction form
    90,409.53/135,642.45 = 54,425.09/x
  3. Step 3: Cross multiply
    90,409.53x = 135,642.45 × 54,425.09
  4. Step 4: Simplify right side
    90,409.53x = 7,382,351,870.86
  5. Step 5: Solve for x
    x = 7,382,351,870.86/90,409.53
  6. Step 6: Final answer
    x = 81,654.58

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1.5x scale

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.