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Finding the Fourth Proportional to 180,449.92, 249,003.72 and 122,188

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Solution

The fourth proportional to 180,449.92, 249,003.72 and 122,188 is: 168,607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,449.92 : 249,003.72 = 122,188 : x
  2. Step 2: Convert to fraction form
    180,449.92/249,003.72 = 122,188/x
  3. Step 3: Cross multiply
    180,449.92x = 249,003.72 × 122,188
  4. Step 4: Simplify right side
    180,449.92x = 30,425,266,539.36
  5. Step 5: Solve for x
    x = 30,425,266,539.36/180,449.92
  6. Step 6: Final answer
    x = 168,607.81

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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.