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Finding the Fourth Proportional to 261,857, 361,362.66 and 142,625

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Solution

The fourth proportional to 261,857, 361,362.66 and 142,625 is: 196,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,857 : 361,362.66 = 142,625 : x
  2. Step 2: Convert to fraction form
    261,857/361,362.66 = 142,625/x
  3. Step 3: Cross multiply
    261,857x = 361,362.66 × 142,625
  4. Step 4: Simplify right side
    261,857x = 51,539,349,382.50
  5. Step 5: Solve for x
    x = 51,539,349,382.50/261,857
  6. Step 6: Final answer
    x = 196,822.50

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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.