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Finding the Fourth Proportional to 180,791.64, 249,466.26 and 100,219.14

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Solution

The fourth proportional to 180,791.64, 249,466.26 and 100,219.14 is: 138,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,791.64 : 249,466.26 = 100,219.14 : x
  2. Step 2: Convert to fraction form
    180,791.64/249,466.26 = 100,219.14/x
  3. Step 3: Cross multiply
    180,791.64x = 249,466.26 × 100,219.14
  4. Step 4: Simplify right side
    180,791.64x = 25,001,294,036.22
  5. Step 5: Solve for x
    x = 25,001,294,036.22/180,791.64
  6. Step 6: Final answer
    x = 138,287.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.