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Finding the Fourth Proportional to 180,887, 249,624.06 and 100,326.86

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Solution

The fourth proportional to 180,887, 249,624.06 and 100,326.86 is: 138,451.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,887 : 249,624.06 = 100,326.86 : x
  2. Step 2: Convert to fraction form
    180,887/249,624.06 = 100,326.86/x
  3. Step 3: Cross multiply
    180,887x = 249,624.06 × 100,326.86
  4. Step 4: Simplify right side
    180,887x = 25,043,998,120.25
  5. Step 5: Solve for x
    x = 25,043,998,120.25/180,887
  6. Step 6: Final answer
    x = 138,451.07

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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.