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Finding the Fourth Proportional to 256,972.54, 385,537.68 and 114,937.32

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Solution

The fourth proportional to 256,972.54, 385,537.68 and 114,937.32 is: 172,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,972.54 : 385,537.68 = 114,937.32 : x
  2. Step 2: Convert to fraction form
    256,972.54/385,537.68 = 114,937.32/x
  3. Step 3: Cross multiply
    256,972.54x = 385,537.68 × 114,937.32
  4. Step 4: Simplify right side
    256,972.54x = 44,312,665,195.84
  5. Step 5: Solve for x
    x = 44,312,665,195.84/256,972.54
  6. Step 6: Final answer
    x = 172,441.25

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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.