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Finding the Fourth Proportional to 261,871.50, 361,385.10 and 148,696.68

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Solution

The fourth proportional to 261,871.50, 361,385.10 and 148,696.68 is: 205,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,871.50 : 361,385.10 = 148,696.68 : x
  2. Step 2: Convert to fraction form
    261,871.50/361,385.10 = 148,696.68/x
  3. Step 3: Cross multiply
    261,871.50x = 361,385.10 × 148,696.68
  4. Step 4: Simplify right side
    261,871.50x = 53,736,764,571.47
  5. Step 5: Solve for x
    x = 53,736,764,571.47/261,871.50
  6. Step 6: Final answer
    x = 205,202.80

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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.