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Finding the Fourth Proportional to 262,090.89, 361,715.21 and 145,815.87

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Solution

The fourth proportional to 262,090.89, 361,715.21 and 145,815.87 is: 201,242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,090.89 : 361,715.21 = 145,815.87 : x
  2. Step 2: Convert to fraction form
    262,090.89/361,715.21 = 145,815.87/x
  3. Step 3: Cross multiply
    262,090.89x = 361,715.21 × 145,815.87
  4. Step 4: Simplify right side
    262,090.89x = 52,743,815,952.87
  5. Step 5: Solve for x
    x = 52,743,815,952.87/262,090.89
  6. Step 6: Final answer
    x = 201,242.46

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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.