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Finding the Fourth Proportional to 256,050.64, 384,135.72 and 87,572.28

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Solution

The fourth proportional to 256,050.64, 384,135.72 and 87,572.28 is: 131,378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,050.64 : 384,135.72 = 87,572.28 : x
  2. Step 2: Convert to fraction form
    256,050.64/384,135.72 = 87,572.28/x
  3. Step 3: Cross multiply
    256,050.64x = 384,135.72 × 87,572.28
  4. Step 4: Simplify right side
    256,050.64x = 33,639,640,829.84
  5. Step 5: Solve for x
    x = 33,639,640,829.84/256,050.64
  6. Step 6: Final answer
    x = 131,378.86

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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.