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Finding the Fourth Proportional to 287,076.42, 430,676.90 and 87,391.64

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Solution

The fourth proportional to 287,076.42, 430,676.90 and 87,391.64 is: 131,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,076.42 : 430,676.90 = 87,391.64 : x
  2. Step 2: Convert to fraction form
    287,076.42/430,676.90 = 87,391.64/x
  3. Step 3: Cross multiply
    287,076.42x = 430,676.90 × 87,391.64
  4. Step 4: Simplify right side
    287,076.42x = 37,637,561,568.57
  5. Step 5: Solve for x
    x = 37,637,561,568.57/287,076.42
  6. Step 6: Final answer
    x = 131,106.42

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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.