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Finding the Fourth Proportional to 189,881.62, 284,962.60 and 90,042.15

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Solution

The fourth proportional to 189,881.62, 284,962.60 and 90,042.15 is: 135,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,881.62 : 284,962.60 = 90,042.15 : x
  2. Step 2: Convert to fraction form
    189,881.62/284,962.60 = 90,042.15/x
  3. Step 3: Cross multiply
    189,881.62x = 284,962.60 × 90,042.15
  4. Step 4: Simplify right side
    189,881.62x = 25,658,645,173.59
  5. Step 5: Solve for x
    x = 25,658,645,173.59/189,881.62
  6. Step 6: Final answer
    x = 135,129.69

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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.