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Finding the Fourth Proportional to 180,422.80, 248,977.32 and 99,853.72

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Solution

The fourth proportional to 180,422.80, 248,977.32 and 99,853.72 is: 137,794.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,422.80 : 248,977.32 = 99,853.72 : x
  2. Step 2: Convert to fraction form
    180,422.80/248,977.32 = 99,853.72/x
  3. Step 3: Cross multiply
    180,422.80x = 248,977.32 × 99,853.72
  4. Step 4: Simplify right side
    180,422.80x = 24,861,311,597.63
  5. Step 5: Solve for x
    x = 24,861,311,597.63/180,422.80
  6. Step 6: Final answer
    x = 137,794.73

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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.