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Finding the Fourth Proportional to 180,491.28, 249,100.32 and 102,986.04

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Solution

The fourth proportional to 180,491.28, 249,100.32 and 102,986.04 is: 142,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,491.28 : 249,100.32 = 102,986.04 : x
  2. Step 2: Convert to fraction form
    180,491.28/249,100.32 = 102,986.04/x
  3. Step 3: Cross multiply
    180,491.28x = 249,100.32 × 102,986.04
  4. Step 4: Simplify right side
    180,491.28x = 25,653,855,519.53
  5. Step 5: Solve for x
    x = 25,653,855,519.53/180,491.28
  6. Step 6: Final answer
    x = 142,133.49

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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.