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Finding the Fourth Proportional to 180,489.31, 249,137.88 and 111,631.47

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Solution

The fourth proportional to 180,489.31, 249,137.88 and 111,631.47 is: 154,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,489.31 : 249,137.88 = 111,631.47 : x
  2. Step 2: Convert to fraction form
    180,489.31/249,137.88 = 111,631.47/x
  3. Step 3: Cross multiply
    180,489.31x = 249,137.88 × 111,631.47
  4. Step 4: Simplify right side
    180,489.31x = 27,811,626,424.20
  5. Step 5: Solve for x
    x = 27,811,626,424.20/180,489.31
  6. Step 6: Final answer
    x = 154,090.16

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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.