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Finding the Fourth Proportional to 73,142.16, 109,759.15 and 28,767.71

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Solution

The fourth proportional to 73,142.16, 109,759.15 and 28,767.71 is: 43,169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,142.16 : 109,759.15 = 28,767.71 : x
  2. Step 2: Convert to fraction form
    73,142.16/109,759.15 = 28,767.71/x
  3. Step 3: Cross multiply
    73,142.16x = 109,759.15 × 28,767.71
  4. Step 4: Simplify right side
    73,142.16x = 3,157,519,090.01
  5. Step 5: Solve for x
    x = 3,157,519,090.01/73,142.16
  6. Step 6: Final answer
    x = 43,169.62

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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.