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Finding the Fourth Proportional to 257,242.69, 385,864.26 and 107,401.29

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Solution

The fourth proportional to 257,242.69, 385,864.26 and 107,401.29 is: 161,102.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,242.69 : 385,864.26 = 107,401.29 : x
  2. Step 2: Convert to fraction form
    257,242.69/385,864.26 = 107,401.29/x
  3. Step 3: Cross multiply
    257,242.69x = 385,864.26 × 107,401.29
  4. Step 4: Simplify right side
    257,242.69x = 41,442,319,609.64
  5. Step 5: Solve for x
    x = 41,442,319,609.64/257,242.69
  6. Step 6: Final answer
    x = 161,102.03

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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.