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Finding the Fourth Proportional to 261,828, 361,322.64 and 142,596

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Solution

The fourth proportional to 261,828, 361,322.64 and 142,596 is: 196,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,828 : 361,322.64 = 142,596 : x
  2. Step 2: Convert to fraction form
    261,828/361,322.64 = 142,596/x
  3. Step 3: Cross multiply
    261,828x = 361,322.64 × 142,596
  4. Step 4: Simplify right side
    261,828x = 51,523,163,173.44
  5. Step 5: Solve for x
    x = 51,523,163,173.44/261,828
  6. Step 6: Final answer
    x = 196,782.48

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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.