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Finding the Fourth Proportional to 180,532, 249,142.72 and 108,910.49

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Solution

The fourth proportional to 180,532, 249,142.72 and 108,910.49 is: 150,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,532 : 249,142.72 = 108,910.49 : x
  2. Step 2: Convert to fraction form
    180,532/249,142.72 = 108,910.49/x
  3. Step 3: Cross multiply
    180,532x = 249,142.72 × 108,910.49
  4. Step 4: Simplify right side
    180,532x = 27,134,254,469.42
  5. Step 5: Solve for x
    x = 27,134,254,469.42/180,532
  6. Step 6: Final answer
    x = 150,301.63

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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.