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Finding the Fourth Proportional to 272,159.81, 408,193.66 and 82,574.46

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Solution

The fourth proportional to 272,159.81, 408,193.66 and 82,574.46 is: 123,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,159.81 : 408,193.66 = 82,574.46 : x
  2. Step 2: Convert to fraction form
    272,159.81/408,193.66 = 82,574.46/x
  3. Step 3: Cross multiply
    272,159.81x = 408,193.66 × 82,574.46
  4. Step 4: Simplify right side
    272,159.81x = 33,706,371,478.45
  5. Step 5: Solve for x
    x = 33,706,371,478.45/272,159.81
  6. Step 6: Final answer
    x = 123,847.72

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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.