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Finding the Fourth Proportional to 180,903.56, 249,634.50 and 100,323.50

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Solution

The fourth proportional to 180,903.56, 249,634.50 and 100,323.50 is: 138,439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,903.56 : 249,634.50 = 100,323.50 : x
  2. Step 2: Convert to fraction form
    180,903.56/249,634.50 = 100,323.50/x
  3. Step 3: Cross multiply
    180,903.56x = 249,634.50 × 100,323.50
  4. Step 4: Simplify right side
    180,903.56x = 25,044,206,760.75
  5. Step 5: Solve for x
    x = 25,044,206,760.75/180,903.56
  6. Step 6: Final answer
    x = 138,439.55

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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.