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Finding the Fourth Proportional to 180,905.67, 249,665.15 and 100,359.14

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Solution

The fourth proportional to 180,905.67, 249,665.15 and 100,359.14 is: 138,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,905.67 : 249,665.15 = 100,359.14 : x
  2. Step 2: Convert to fraction form
    180,905.67/249,665.15 = 100,359.14/x
  3. Step 3: Cross multiply
    180,905.67x = 249,665.15 × 100,359.14
  4. Step 4: Simplify right side
    180,905.67x = 25,056,180,148.91
  5. Step 5: Solve for x
    x = 25,056,180,148.91/180,905.67
  6. Step 6: Final answer
    x = 138,504.12

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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.