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Finding the Fourth Proportional to 103,178.58, 154,767.87 and 82,533.30

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Solution

The fourth proportional to 103,178.58, 154,767.87 and 82,533.30 is: 123,799.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,178.58 : 154,767.87 = 82,533.30 : x
  2. Step 2: Convert to fraction form
    103,178.58/154,767.87 = 82,533.30/x
  3. Step 3: Cross multiply
    103,178.58x = 154,767.87 × 82,533.30
  4. Step 4: Simplify right side
    103,178.58x = 12,773,503,045.07
  5. Step 5: Solve for x
    x = 12,773,503,045.07/103,178.58
  6. Step 6: Final answer
    x = 123,799.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.