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Finding the Fourth Proportional to 72,199.14, 108,317.16 and 27,814

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Solution

The fourth proportional to 72,199.14, 108,317.16 and 27,814 is: 41,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,199.14 : 108,317.16 = 27,814 : x
  2. Step 2: Convert to fraction form
    72,199.14/108,317.16 = 27,814/x
  3. Step 3: Cross multiply
    72,199.14x = 108,317.16 × 27,814
  4. Step 4: Simplify right side
    72,199.14x = 3,012,733,488.24
  5. Step 5: Solve for x
    x = 3,012,733,488.24/72,199.14
  6. Step 6: Final answer
    x = 41,728.11

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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.