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Finding the Fourth Proportional to 180,745.70, 249,429.09 and 100,178.43

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Solution

The fourth proportional to 180,745.70, 249,429.09 and 100,178.43 is: 138,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,745.70 : 249,429.09 = 100,178.43 : x
  2. Step 2: Convert to fraction form
    180,745.70/249,429.09 = 100,178.43/x
  3. Step 3: Cross multiply
    180,745.70x = 249,429.09 × 100,178.43
  4. Step 4: Simplify right side
    180,745.70x = 24,987,414,632.53
  5. Step 5: Solve for x
    x = 24,987,414,632.53/180,745.70
  6. Step 6: Final answer
    x = 138,246.25

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1.5x scale

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.