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Finding the Fourth Proportional to 256,898.66, 385,093.85 and 121,725.28

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Solution

The fourth proportional to 256,898.66, 385,093.85 and 121,725.28 is: 182,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,898.66 : 385,093.85 = 121,725.28 : x
  2. Step 2: Convert to fraction form
    256,898.66/385,093.85 = 121,725.28/x
  3. Step 3: Cross multiply
    256,898.66x = 385,093.85 × 121,725.28
  4. Step 4: Simplify right side
    256,898.66x = 46,875,656,717.53
  5. Step 5: Solve for x
    x = 46,875,656,717.53/256,898.66
  6. Step 6: Final answer
    x = 182,467.50

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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.