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Finding the Fourth Proportional to 273,262.50, 409,893.75 and 86,274

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Solution

The fourth proportional to 273,262.50, 409,893.75 and 86,274 is: 129,411

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,262.50 : 409,893.75 = 86,274 : x
  2. Step 2: Convert to fraction form
    273,262.50/409,893.75 = 86,274/x
  3. Step 3: Cross multiply
    273,262.50x = 409,893.75 × 86,274
  4. Step 4: Simplify right side
    273,262.50x = 35,363,173,387.50
  5. Step 5: Solve for x
    x = 35,363,173,387.50/273,262.50
  6. Step 6: Final answer
    x = 129,411

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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.