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Finding the Fourth Proportional to 256,073.60, 384,097.60 and 131,427.20

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Solution

The fourth proportional to 256,073.60, 384,097.60 and 131,427.20 is: 197,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,073.60 : 384,097.60 = 131,427.20 : x
  2. Step 2: Convert to fraction form
    256,073.60/384,097.60 = 131,427.20/x
  3. Step 3: Cross multiply
    256,073.60x = 384,097.60 × 131,427.20
  4. Step 4: Simplify right side
    256,073.60x = 50,480,872,094.72
  5. Step 5: Solve for x
    x = 50,480,872,094.72/256,073.60
  6. Step 6: Final answer
    x = 197,134.23

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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.