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Finding the Fourth Proportional to 180,879.49, 249,614.37 and 100,314.46

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Solution

The fourth proportional to 180,879.49, 249,614.37 and 100,314.46 is: 138,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,879.49 : 249,614.37 = 100,314.46 : x
  2. Step 2: Convert to fraction form
    180,879.49/249,614.37 = 100,314.46/x
  3. Step 3: Cross multiply
    180,879.49x = 249,614.37 × 100,314.46
  4. Step 4: Simplify right side
    180,879.49x = 25,039,930,734.79
  5. Step 5: Solve for x
    x = 25,039,930,734.79/180,879.49
  6. Step 6: Final answer
    x = 138,434.33

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1.5x scale

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.