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Finding the Fourth Proportional to 180,699.69, 249,365.32 and 100,132.44

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Solution

The fourth proportional to 180,699.69, 249,365.32 and 100,132.44 is: 138,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,699.69 : 249,365.32 = 100,132.44 : x
  2. Step 2: Convert to fraction form
    180,699.69/249,365.32 = 100,132.44/x
  3. Step 3: Cross multiply
    180,699.69x = 249,365.32 × 100,132.44
  4. Step 4: Simplify right side
    180,699.69x = 24,969,556,757.53
  5. Step 5: Solve for x
    x = 24,969,556,757.53/180,699.69
  6. Step 6: Final answer
    x = 138,182.62

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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.