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Finding the Fourth Proportional to 180,031.98, 269,985.41 and 100,191.78

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Solution

The fourth proportional to 180,031.98, 269,985.41 and 100,191.78 is: 150,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,031.98 : 269,985.41 = 100,191.78 : x
  2. Step 2: Convert to fraction form
    180,031.98/269,985.41 = 100,191.78/x
  3. Step 3: Cross multiply
    180,031.98x = 269,985.41 × 100,191.78
  4. Step 4: Simplify right side
    180,031.98x = 27,050,318,300.97
  5. Step 5: Solve for x
    x = 27,050,318,300.97/180,031.98
  6. Step 6: Final answer
    x = 150,252.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.