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Finding the Fourth Proportional to 252,103.25, 377,898.50 and 100,407.80

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Solution

The fourth proportional to 252,103.25, 377,898.50 and 100,407.80 is: 150,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,103.25 : 377,898.50 = 100,407.80 : x
  2. Step 2: Convert to fraction form
    252,103.25/377,898.50 = 100,407.80/x
  3. Step 3: Cross multiply
    252,103.25x = 377,898.50 × 100,407.80
  4. Step 4: Simplify right side
    252,103.25x = 37,943,958,204.07
  5. Step 5: Solve for x
    x = 37,943,958,204.07/252,103.25
  6. Step 6: Final answer
    x = 150,509.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.