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Finding the Fourth Proportional to 272,043.64, 408,064.90 and 72,364.24

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Solution

The fourth proportional to 272,043.64, 408,064.90 and 72,364.24 is: 108,546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,043.64 : 408,064.90 = 72,364.24 : x
  2. Step 2: Convert to fraction form
    272,043.64/408,064.90 = 72,364.24/x
  3. Step 3: Cross multiply
    272,043.64x = 408,064.90 × 72,364.24
  4. Step 4: Simplify right side
    272,043.64x = 29,529,306,359.18
  5. Step 5: Solve for x
    x = 29,529,306,359.18/272,043.64
  6. Step 6: Final answer
    x = 108,546.21

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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.