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Finding the Fourth Proportional to 140,602.42, 194,031.34 and 76,940.24

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Solution

The fourth proportional to 140,602.42, 194,031.34 and 76,940.24 is: 106,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,602.42 : 194,031.34 = 76,940.24 : x
  2. Step 2: Convert to fraction form
    140,602.42/194,031.34 = 76,940.24/x
  3. Step 3: Cross multiply
    140,602.42x = 194,031.34 × 76,940.24
  4. Step 4: Simplify right side
    140,602.42x = 14,928,817,867.12
  5. Step 5: Solve for x
    x = 14,928,817,867.12/140,602.42
  6. Step 6: Final answer
    x = 106,177.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.