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Finding the Fourth Proportional to 272,871.70, 409,234.65 and 83,331.70

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Solution

The fourth proportional to 272,871.70, 409,234.65 and 83,331.70 is: 124,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,871.70 : 409,234.65 = 83,331.70 : x
  2. Step 2: Convert to fraction form
    272,871.70/409,234.65 = 83,331.70/x
  3. Step 3: Cross multiply
    272,871.70x = 409,234.65 × 83,331.70
  4. Step 4: Simplify right side
    272,871.70x = 34,102,219,083.41
  5. Step 5: Solve for x
    x = 34,102,219,083.41/272,871.70
  6. Step 6: Final answer
    x = 124,975.29

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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.