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Finding the Fourth Proportional to 256,046.64, 384,129.70 and 87,568.26

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Solution

The fourth proportional to 256,046.64, 384,129.70 and 87,568.26 is: 131,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,046.64 : 384,129.70 = 87,568.26 : x
  2. Step 2: Convert to fraction form
    256,046.64/384,129.70 = 87,568.26/x
  3. Step 3: Cross multiply
    256,046.64x = 384,129.70 × 87,568.26
  4. Step 4: Simplify right side
    256,046.64x = 33,637,569,443.32
  5. Step 5: Solve for x
    x = 33,637,569,443.32/256,046.64
  6. Step 6: Final answer
    x = 131,372.82

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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.