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Finding the Fourth Proportional to 180,735.62, 249,415.78 and 100,164.50

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Solution

The fourth proportional to 180,735.62, 249,415.78 and 100,164.50 is: 138,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,735.62 : 249,415.78 = 100,164.50 : x
  2. Step 2: Convert to fraction form
    180,735.62/249,415.78 = 100,164.50/x
  3. Step 3: Cross multiply
    180,735.62x = 249,415.78 × 100,164.50
  4. Step 4: Simplify right side
    180,735.62x = 24,982,606,895.81
  5. Step 5: Solve for x
    x = 24,982,606,895.81/180,735.62
  6. Step 6: Final answer
    x = 138,227.36

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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.