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Finding the Fourth Proportional to 150,741, 208,197.54 and 100,352.52

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Solution

The fourth proportional to 150,741, 208,197.54 and 100,352.52 is: 138,602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,741 : 208,197.54 = 100,352.52 : x
  2. Step 2: Convert to fraction form
    150,741/208,197.54 = 100,352.52/x
  3. Step 3: Cross multiply
    150,741x = 208,197.54 × 100,352.52
  4. Step 4: Simplify right side
    150,741x = 20,893,147,796.80
  5. Step 5: Solve for x
    x = 20,893,147,796.80/150,741
  6. Step 6: Final answer
    x = 138,602.95

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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.