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Finding the Fourth Proportional to 109,855.78, 164,775.30 and 34,978.30

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Solution

The fourth proportional to 109,855.78, 164,775.30 and 34,978.30 is: 52,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,855.78 : 164,775.30 = 34,978.30 : x
  2. Step 2: Convert to fraction form
    109,855.78/164,775.30 = 34,978.30/x
  3. Step 3: Cross multiply
    109,855.78x = 164,775.30 × 34,978.30
  4. Step 4: Simplify right side
    109,855.78x = 5,763,559,875.99
  5. Step 5: Solve for x
    x = 5,763,559,875.99/109,855.78
  6. Step 6: Final answer
    x = 52,464.78

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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.