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Finding the Fourth Proportional to 261,764.84, 361,225.64 and 159,960.54

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Solution

The fourth proportional to 261,764.84, 361,225.64 and 159,960.54 is: 220,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,764.84 : 361,225.64 = 159,960.54 : x
  2. Step 2: Convert to fraction form
    261,764.84/361,225.64 = 159,960.54/x
  3. Step 3: Cross multiply
    261,764.84x = 361,225.64 × 159,960.54
  4. Step 4: Simplify right side
    261,764.84x = 57,781,848,436.25
  5. Step 5: Solve for x
    x = 57,781,848,436.25/261,764.84
  6. Step 6: Final answer
    x = 220,739.53

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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.