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Finding the Fourth Proportional to 256,083.70, 384,125.55 and 89,850.10

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Solution

The fourth proportional to 256,083.70, 384,125.55 and 89,850.10 is: 134,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,083.70 : 384,125.55 = 89,850.10 : x
  2. Step 2: Convert to fraction form
    256,083.70/384,125.55 = 89,850.10/x
  3. Step 3: Cross multiply
    256,083.70x = 384,125.55 × 89,850.10
  4. Step 4: Simplify right side
    256,083.70x = 34,513,719,080.06
  5. Step 5: Solve for x
    x = 34,513,719,080.06/256,083.70
  6. Step 6: Final answer
    x = 134,775.15

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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.