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Finding the Fourth Proportional to 261,668.98, 361,150.32 and 154,232.74

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Solution

The fourth proportional to 261,668.98, 361,150.32 and 154,232.74 is: 212,868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,668.98 : 361,150.32 = 154,232.74 : x
  2. Step 2: Convert to fraction form
    261,668.98/361,150.32 = 154,232.74/x
  3. Step 3: Cross multiply
    261,668.98x = 361,150.32 × 154,232.74
  4. Step 4: Simplify right side
    261,668.98x = 55,701,203,405.48
  5. Step 5: Solve for x
    x = 55,701,203,405.48/261,668.98
  6. Step 6: Final answer
    x = 212,868.96

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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.