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Finding the Fourth Proportional to 180,647.69, 249,335.28 and 120,220.88

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Solution

The fourth proportional to 180,647.69, 249,335.28 and 120,220.88 is: 165,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,647.69 : 249,335.28 = 120,220.88 : x
  2. Step 2: Convert to fraction form
    180,647.69/249,335.28 = 120,220.88/x
  3. Step 3: Cross multiply
    180,647.69x = 249,335.28 × 120,220.88
  4. Step 4: Simplify right side
    180,647.69x = 29,975,305,529.97
  5. Step 5: Solve for x
    x = 29,975,305,529.97/180,647.69
  6. Step 6: Final answer
    x = 165,932.41

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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.