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Finding the Fourth Proportional to 180,703.26, 249,579.72 and 120,168.90

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Solution

The fourth proportional to 180,703.26, 249,579.72 and 120,168.90 is: 165,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,703.26 : 249,579.72 = 120,168.90 : x
  2. Step 2: Convert to fraction form
    180,703.26/249,579.72 = 120,168.90/x
  3. Step 3: Cross multiply
    180,703.26x = 249,579.72 × 120,168.90
  4. Step 4: Simplify right side
    180,703.26x = 29,991,720,414.71
  5. Step 5: Solve for x
    x = 29,991,720,414.71/180,703.26
  6. Step 6: Final answer
    x = 165,972.22

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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.