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Finding the Fourth Proportional to 72,811.28, 109,168.68 and 28,442.24

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Solution

The fourth proportional to 72,811.28, 109,168.68 and 28,442.24 is: 42,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,811.28 : 109,168.68 = 28,442.24 : x
  2. Step 2: Convert to fraction form
    72,811.28/109,168.68 = 28,442.24/x
  3. Step 3: Cross multiply
    72,811.28x = 109,168.68 × 28,442.24
  4. Step 4: Simplify right side
    72,811.28x = 3,105,001,797.04
  5. Step 5: Solve for x
    x = 3,105,001,797.04/72,811.28
  6. Step 6: Final answer
    x = 42,644.52

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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.