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Finding the Fourth Proportional to 286,037.56, 429,076.86 and 75,673

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Solution

The fourth proportional to 286,037.56, 429,076.86 and 75,673 is: 113,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,037.56 : 429,076.86 = 75,673 : x
  2. Step 2: Convert to fraction form
    286,037.56/429,076.86 = 75,673/x
  3. Step 3: Cross multiply
    286,037.56x = 429,076.86 × 75,673
  4. Step 4: Simplify right side
    286,037.56x = 32,469,533,226.78
  5. Step 5: Solve for x
    x = 32,469,533,226.78/286,037.56
  6. Step 6: Final answer
    x = 113,514.93

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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.