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Finding the Fourth Proportional to 256,046.76, 384,115.62 and 87,585.72

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Solution

The fourth proportional to 256,046.76, 384,115.62 and 87,585.72 is: 131,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,046.76 : 384,115.62 = 87,585.72 : x
  2. Step 2: Convert to fraction form
    256,046.76/384,115.62 = 87,585.72/x
  3. Step 3: Cross multiply
    256,046.76x = 384,115.62 × 87,585.72
  4. Step 4: Simplify right side
    256,046.76x = 33,643,043,140.95
  5. Step 5: Solve for x
    x = 33,643,043,140.95/256,046.76
  6. Step 6: Final answer
    x = 131,394.14

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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.