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Finding the Fourth Proportional to 180,793.53, 249,468.84 and 100,221

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Solution

The fourth proportional to 180,793.53, 249,468.84 and 100,221 is: 138,290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,793.53 : 249,468.84 = 100,221 : x
  2. Step 2: Convert to fraction form
    180,793.53/249,468.84 = 100,221/x
  3. Step 3: Cross multiply
    180,793.53x = 249,468.84 × 100,221
  4. Step 4: Simplify right side
    180,793.53x = 25,002,016,613.64
  5. Step 5: Solve for x
    x = 25,002,016,613.64/180,793.53
  6. Step 6: Final answer
    x = 138,290.44

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1.5x scale

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.