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Finding the Fourth Proportional to 272,936.80, 409,462.80 and 85,967.20

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Solution

The fourth proportional to 272,936.80, 409,462.80 and 85,967.20 is: 128,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,936.80 : 409,462.80 = 85,967.20 : x
  2. Step 2: Convert to fraction form
    272,936.80/409,462.80 = 85,967.20/x
  3. Step 3: Cross multiply
    272,936.80x = 409,462.80 × 85,967.20
  4. Step 4: Simplify right side
    272,936.80x = 35,200,370,420.16
  5. Step 5: Solve for x
    x = 35,200,370,420.16/272,936.80
  6. Step 6: Final answer
    x = 128,968.94

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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.