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Finding the Fourth Proportional to 109,410.81, 164,143.88 and 30,525

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Solution

The fourth proportional to 109,410.81, 164,143.88 and 30,525 is: 45,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,410.81 : 164,143.88 = 30,525 : x
  2. Step 2: Convert to fraction form
    109,410.81/164,143.88 = 30,525/x
  3. Step 3: Cross multiply
    109,410.81x = 164,143.88 × 30,525
  4. Step 4: Simplify right side
    109,410.81x = 5,010,491,937
  5. Step 5: Solve for x
    x = 5,010,491,937/109,410.81
  6. Step 6: Final answer
    x = 45,795.22

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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.