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Finding the Fourth Proportional to 180,854, 249,581.52 and 100,284.92

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Solution

The fourth proportional to 180,854, 249,581.52 and 100,284.92 is: 138,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,854 : 249,581.52 = 100,284.92 : x
  2. Step 2: Convert to fraction form
    180,854/249,581.52 = 100,284.92/x
  3. Step 3: Cross multiply
    180,854x = 249,581.52 × 100,284.92
  4. Step 4: Simplify right side
    180,854x = 25,029,262,766.68
  5. Step 5: Solve for x
    x = 25,029,262,766.68/180,854
  6. Step 6: Final answer
    x = 138,394.85

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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.