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Finding the Fourth Proportional to 180,963.96, 249,730.56 and 100,391.49

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Solution

The fourth proportional to 180,963.96, 249,730.56 and 100,391.49 is: 138,540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,963.96 : 249,730.56 = 100,391.49 : x
  2. Step 2: Convert to fraction form
    180,963.96/249,730.56 = 100,391.49/x
  3. Step 3: Cross multiply
    180,963.96x = 249,730.56 × 100,391.49
  4. Step 4: Simplify right side
    180,963.96x = 25,070,823,393.40
  5. Step 5: Solve for x
    x = 25,070,823,393.40/180,963.96
  6. Step 6: Final answer
    x = 138,540.42

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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.