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Finding the Fourth Proportional to 90,342, 135,528.12 and 28,000.08

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Solution

The fourth proportional to 90,342, 135,528.12 and 28,000.08 is: 42,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,342 : 135,528.12 = 28,000.08 : x
  2. Step 2: Convert to fraction form
    90,342/135,528.12 = 28,000.08/x
  3. Step 3: Cross multiply
    90,342x = 135,528.12 × 28,000.08
  4. Step 4: Simplify right side
    90,342x = 3,794,798,202.25
  5. Step 5: Solve for x
    x = 3,794,798,202.25/90,342
  6. Step 6: Final answer
    x = 42,004.81

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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.