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Finding the Fourth Proportional to 140,825, 194,338.50 and 77,165.22

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Solution

The fourth proportional to 140,825, 194,338.50 and 77,165.22 is: 106,488.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,825 : 194,338.50 = 77,165.22 : x
  2. Step 2: Convert to fraction form
    140,825/194,338.50 = 77,165.22/x
  3. Step 3: Cross multiply
    140,825x = 194,338.50 × 77,165.22
  4. Step 4: Simplify right side
    140,825x = 14,996,173,106.97
  5. Step 5: Solve for x
    x = 14,996,173,106.97/140,825
  6. Step 6: Final answer
    x = 106,488.00

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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.