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Finding the Fourth Proportional to 180,800, 249,504 and 105,348.48

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Solution

The fourth proportional to 180,800, 249,504 and 105,348.48 is: 145,380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,800 : 249,504 = 105,348.48 : x
  2. Step 2: Convert to fraction form
    180,800/249,504 = 105,348.48/x
  3. Step 3: Cross multiply
    180,800x = 249,504 × 105,348.48
  4. Step 4: Simplify right side
    180,800x = 26,284,867,153.92
  5. Step 5: Solve for x
    x = 26,284,867,153.92/180,800
  6. Step 6: Final answer
    x = 145,380.90

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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.