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Finding the Fourth Proportional to 101,780.40, 140,309.46 and 71,473.44

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Solution

The fourth proportional to 101,780.40, 140,309.46 and 71,473.44 is: 98,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,780.40 : 140,309.46 = 71,473.44 : x
  2. Step 2: Convert to fraction form
    101,780.40/140,309.46 = 71,473.44/x
  3. Step 3: Cross multiply
    101,780.40x = 140,309.46 × 71,473.44
  4. Step 4: Simplify right side
    101,780.40x = 10,028,399,770.74
  5. Step 5: Solve for x
    x = 10,028,399,770.74/101,780.40
  6. Step 6: Final answer
    x = 98,529.77

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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.