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Finding the Fourth Proportional to 180,648.69, 249,336.66 and 120,221.88

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Solution

The fourth proportional to 180,648.69, 249,336.66 and 120,221.88 is: 165,933.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,648.69 : 249,336.66 = 120,221.88 : x
  2. Step 2: Convert to fraction form
    180,648.69/249,336.66 = 120,221.88/x
  3. Step 3: Cross multiply
    180,648.69x = 249,336.66 × 120,221.88
  4. Step 4: Simplify right side
    180,648.69x = 29,975,722,018.12
  5. Step 5: Solve for x
    x = 29,975,722,018.12/180,648.69
  6. Step 6: Final answer
    x = 165,933.79

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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.