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Finding the Fourth Proportional to 101,764.54, 140,272.84 and 80,219.17

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Solution

The fourth proportional to 101,764.54, 140,272.84 and 80,219.17 is: 110,574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,764.54 : 140,272.84 = 80,219.17 : x
  2. Step 2: Convert to fraction form
    101,764.54/140,272.84 = 80,219.17/x
  3. Step 3: Cross multiply
    101,764.54x = 140,272.84 × 80,219.17
  4. Step 4: Simplify right side
    101,764.54x = 11,252,570,798.34
  5. Step 5: Solve for x
    x = 11,252,570,798.34/101,764.54
  6. Step 6: Final answer
    x = 110,574.58

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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.