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Finding the Fourth Proportional to 256,897.84, 354,511.72 and 142,181.29

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Solution

The fourth proportional to 256,897.84, 354,511.72 and 142,181.29 is: 196,206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,897.84 : 354,511.72 = 142,181.29 : x
  2. Step 2: Convert to fraction form
    256,897.84/354,511.72 = 142,181.29/x
  3. Step 3: Cross multiply
    256,897.84x = 354,511.72 × 142,181.29
  4. Step 4: Simplify right side
    256,897.84x = 50,404,933,669.72
  5. Step 5: Solve for x
    x = 50,404,933,669.72/256,897.84
  6. Step 6: Final answer
    x = 196,206.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.