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Finding the Fourth Proportional to 180,902.66, 249,654 and 100,325.38

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Solution

The fourth proportional to 180,902.66, 249,654 and 100,325.38 is: 138,453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,902.66 : 249,654 = 100,325.38 : x
  2. Step 2: Convert to fraction form
    180,902.66/249,654 = 100,325.38/x
  3. Step 3: Cross multiply
    180,902.66x = 249,654 × 100,325.38
  4. Step 4: Simplify right side
    180,902.66x = 25,046,632,418.52
  5. Step 5: Solve for x
    x = 25,046,632,418.52/180,902.66
  6. Step 6: Final answer
    x = 138,453.64

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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.