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Finding the Fourth Proportional to 107,265.42, 160,941.87 and 86,401.44

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Solution

The fourth proportional to 107,265.42, 160,941.87 and 86,401.44 is: 129,637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,265.42 : 160,941.87 = 86,401.44 : x
  2. Step 2: Convert to fraction form
    107,265.42/160,941.87 = 86,401.44/x
  3. Step 3: Cross multiply
    107,265.42x = 160,941.87 × 86,401.44
  4. Step 4: Simplify right side
    107,265.42x = 13,905,609,324.29
  5. Step 5: Solve for x
    x = 13,905,609,324.29/107,265.42
  6. Step 6: Final answer
    x = 129,637.39

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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.