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Finding the Fourth Proportional to 180,947.82, 249,687.84 and 100,355.14

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Solution

The fourth proportional to 180,947.82, 249,687.84 and 100,355.14 is: 138,478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,947.82 : 249,687.84 = 100,355.14 : x
  2. Step 2: Convert to fraction form
    180,947.82/249,687.84 = 100,355.14/x
  3. Step 3: Cross multiply
    180,947.82x = 249,687.84 × 100,355.14
  4. Step 4: Simplify right side
    180,947.82x = 25,057,458,139.50
  5. Step 5: Solve for x
    x = 25,057,458,139.50/180,947.82
  6. Step 6: Final answer
    x = 138,478.92

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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.