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Finding the Fourth Proportional to 90,343.68, 135,523.89 and 23,784.09

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Solution

The fourth proportional to 90,343.68, 135,523.89 and 23,784.09 is: 35,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,343.68 : 135,523.89 = 23,784.09 : x
  2. Step 2: Convert to fraction form
    90,343.68/135,523.89 = 23,784.09/x
  3. Step 3: Cross multiply
    90,343.68x = 135,523.89 × 23,784.09
  4. Step 4: Simplify right side
    90,343.68x = 3,223,312,396.91
  5. Step 5: Solve for x
    x = 3,223,312,396.91/90,343.68
  6. Step 6: Final answer
    x = 35,678.34

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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.