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Finding the Fourth Proportional to 256,072.60, 384,137.70 and 78,578.20

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Solution

The fourth proportional to 256,072.60, 384,137.70 and 78,578.20 is: 117,876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,072.60 : 384,137.70 = 78,578.20 : x
  2. Step 2: Convert to fraction form
    256,072.60/384,137.70 = 78,578.20/x
  3. Step 3: Cross multiply
    256,072.60x = 384,137.70 × 78,578.20
  4. Step 4: Simplify right side
    256,072.60x = 30,184,849,018.14
  5. Step 5: Solve for x
    x = 30,184,849,018.14/256,072.60
  6. Step 6: Final answer
    x = 117,876.14

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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.