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Finding the Fourth Proportional to 180,674.28, 249,332.49 and 100,103.06

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Solution

The fourth proportional to 180,674.28, 249,332.49 and 100,103.06 is: 138,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,674.28 : 249,332.49 = 100,103.06 : x
  2. Step 2: Convert to fraction form
    180,674.28/249,332.49 = 100,103.06/x
  3. Step 3: Cross multiply
    180,674.28x = 249,332.49 × 100,103.06
  4. Step 4: Simplify right side
    180,674.28x = 24,958,945,829.75
  5. Step 5: Solve for x
    x = 24,958,945,829.75/180,674.28
  6. Step 6: Final answer
    x = 138,143.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.