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Finding the Fourth Proportional to 180,793.42, 249,468.64 and 100,220.88

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Solution

The fourth proportional to 180,793.42, 249,468.64 and 100,220.88 is: 138,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,793.42 : 249,468.64 = 100,220.88 : x
  2. Step 2: Convert to fraction form
    180,793.42/249,468.64 = 100,220.88/x
  3. Step 3: Cross multiply
    180,793.42x = 249,468.64 × 100,220.88
  4. Step 4: Simplify right side
    180,793.42x = 25,001,966,633.20
  5. Step 5: Solve for x
    x = 25,001,966,633.20/180,793.42
  6. Step 6: Final answer
    x = 138,290.25

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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.