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Finding the Fourth Proportional to 140,784, 194,281.92 and 77,122.05

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Solution

The fourth proportional to 140,784, 194,281.92 and 77,122.05 is: 106,428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,784 : 194,281.92 = 77,122.05 : x
  2. Step 2: Convert to fraction form
    140,784/194,281.92 = 77,122.05/x
  3. Step 3: Cross multiply
    140,784x = 194,281.92 × 77,122.05
  4. Step 4: Simplify right side
    140,784x = 14,983,419,948.34
  5. Step 5: Solve for x
    x = 14,983,419,948.34/140,784
  6. Step 6: Final answer
    x = 106,428.43

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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.