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Finding the Fourth Proportional to 262,153.50, 393,231.69 and 65,161.50

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Solution

The fourth proportional to 262,153.50, 393,231.69 and 65,161.50 is: 97,742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,153.50 : 393,231.69 = 65,161.50 : x
  2. Step 2: Convert to fraction form
    262,153.50/393,231.69 = 65,161.50/x
  3. Step 3: Cross multiply
    262,153.50x = 393,231.69 × 65,161.50
  4. Step 4: Simplify right side
    262,153.50x = 25,623,566,767.94
  5. Step 5: Solve for x
    x = 25,623,566,767.94/262,153.50
  6. Step 6: Final answer
    x = 97,742.61

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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.