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Finding the Fourth Proportional to 73,684.81, 101,685 and 40,150.81

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Solution

The fourth proportional to 73,684.81, 101,685 and 40,150.81 is: 55,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,684.81 : 101,685 = 40,150.81 : x
  2. Step 2: Convert to fraction form
    73,684.81/101,685 = 40,150.81/x
  3. Step 3: Cross multiply
    73,684.81x = 101,685 × 40,150.81
  4. Step 4: Simplify right side
    73,684.81x = 4,082,735,114.85
  5. Step 5: Solve for x
    x = 4,082,735,114.85/73,684.81
  6. Step 6: Final answer
    x = 55,408.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.