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Finding the Fourth Proportional to 287,661.89, 431,423.62 and 87,984.02

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Solution

The fourth proportional to 287,661.89, 431,423.62 and 87,984.02 is: 131,954.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,661.89 : 431,423.62 = 87,984.02 : x
  2. Step 2: Convert to fraction form
    287,661.89/431,423.62 = 87,984.02/x
  3. Step 3: Cross multiply
    287,661.89x = 431,423.62 × 87,984.02
  4. Step 4: Simplify right side
    287,661.89x = 37,958,383,112.03
  5. Step 5: Solve for x
    x = 37,958,383,112.03/287,661.89
  6. Step 6: Final answer
    x = 131,954.86

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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.