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Finding the Fourth Proportional to 145,201.76, 217,813.57 and 40,019.81

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Solution

The fourth proportional to 145,201.76, 217,813.57 and 40,019.81 is: 60,032.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,201.76 : 217,813.57 = 40,019.81 : x
  2. Step 2: Convert to fraction form
    145,201.76/217,813.57 = 40,019.81/x
  3. Step 3: Cross multiply
    145,201.76x = 217,813.57 × 40,019.81
  4. Step 4: Simplify right side
    145,201.76x = 8,716,858,131.31
  5. Step 5: Solve for x
    x = 8,716,858,131.31/145,201.76
  6. Step 6: Final answer
    x = 60,032.73

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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.