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Finding the Fourth Proportional to 180,991.41, 249,772.23 and 100,415.94

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Solution

The fourth proportional to 180,991.41, 249,772.23 and 100,415.94 is: 138,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,991.41 : 249,772.23 = 100,415.94 : x
  2. Step 2: Convert to fraction form
    180,991.41/249,772.23 = 100,415.94/x
  3. Step 3: Cross multiply
    180,991.41x = 249,772.23 × 100,415.94
  4. Step 4: Simplify right side
    180,991.41x = 25,081,113,261.35
  5. Step 5: Solve for x
    x = 25,081,113,261.35/180,991.41
  6. Step 6: Final answer
    x = 138,576.26

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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.