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Finding the Fourth Proportional to 180,992.73, 249,783.69 and 100,435.50

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Solution

The fourth proportional to 180,992.73, 249,783.69 and 100,435.50 is: 138,608.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,992.73 : 249,783.69 = 100,435.50 : x
  2. Step 2: Convert to fraction form
    180,992.73/249,783.69 = 100,435.50/x
  3. Step 3: Cross multiply
    180,992.73x = 249,783.69 × 100,435.50
  4. Step 4: Simplify right side
    180,992.73x = 25,087,149,797.00
  5. Step 5: Solve for x
    x = 25,087,149,797.00/180,992.73
  6. Step 6: Final answer
    x = 138,608.60

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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.